# solve each inequality and graph its solution answer key

Subtract 15 on both sides 2m + 18 > −4 Answer: The final temperature is then -4t degrees Celsius after t hours. Score : ES1 Name : Printable Math Worksheets @ www.mathworksheets4kids.com Solve each inequality and graph the solution. 14. â35 13. â8x>16 x < â2 15. Explain. Solve x + 1 > 10, x + 11 > 20, and x + 21 > 30. Check out the topics of Chapter 7 Writing and Solving One-Step Inequalities before you start practicing. Thus the correct answer is option B. __________, Explanation: Solve each inequality. Answer: Explanation: The 30 members of a choir are trying to raise at least $1,500 to cover travel costs to a singing camp. Let x represent the number of cans collected each day. The perimeter of the figure is the sum of its side lengths so the perimeter of the hexagon must be 6s since it has 6 sides that are all s inches long. Marcos’s ticket cost$30. b. −6w − 18 ≥ 36 And that represents the graph of the inequality. Type below: Divide by 8 on both sides This means that it still is a proportional relationship. Thus the correct answer is option C. Question 7. You have $20 to spend on your ride. Due to fire laws, no more than 720 people may attend a performance at Metro Auditorium. h < 2 × 5 Its graph would like the one below: Question 13. To get a free meal at his favorite restaurant, Tom needs to spend$50 or more at the restaurant. Explanation: $$\frac{f}{2}$$ < 70 Subtract 5 on both sides 2(-12)  + 18 = -24 + 18 = -6 > -4 not true She will have saved $102 in total if she earns$18 each day so she will have enough money. Answer: During a scuba dive, Lainey descended to a point 20 feet below the ocean surface. Example: Solve. Answer: From here, shade the line going to the left if the inequality is either ≤ or < and shade the line going to the right if the inequality is either ≥ or >. View PDF. The perimeter of a rectangle is at most 80 inches. Explanation: x < 8 Solve the inequality first: Joanna joins a CD club. where w is the combined weight of the kittens in ounces. The rate of change in the submarine’s elevation is no greater than -12 feet per second. ___________. b. Divide -4 by both sides $16:(5 Sample answer: Shade each inequality in its standard way, by shading above the line if y … Bagels cost$0.75 each, and a small container of cream cheese costs $1.29. y > 6 2x + 5 – 5 ≤ 1 – 5 Question 1. Question 8. Answer: 15x ≤ 130 _______, Explanation: Type below: a. x < 8 Type below: Answer: To cover a rectangular region of her yard, Penny needs at least 170.5 square feet of sod. Question 1. Identify what your variable represents. 6 divides 36 six times −3.6 – 1.2 ≥ −0.3a + 1.2 – 1.2 Suppose you are solving an inequality. 3x + 6 = 42 23x + 750 ≥ 1,800 Type below: The third step is to determine what inequality sign to use by determining if you need to be greater than, greater than or equal to, less than, less than, or equal to the target amount to write the inequality. First, solve the inequality: -5 + 7 ≤ -2 + 7 4x + 30 ≥ 90, Question 1. 12 ≥ −3b a. ___________. Which inequality could you solve to find the average amounts each member can raise that will at least meet the goal? 8, then 5 + 2 8 + 2. First, solve the inequality: Interpret the Answer If the inequality is either a > or a <, use an open dot, indicating that the number is not a solution. Hence we can place a hollow dot on 2 and shade the line going to the right until another hollow dot on 7. 8x < 36 Solve the inequality. Solving Rational Inequalities. To graph inequalities, locate the number opposite the variable of the inequality on a number line. $$\frac{a}{-8}$$ + 15 > 23 a. $$\frac{b}{5}$$ > −1 The graph of a compound inequality involving an and {x ! The answer is either no solution or all real numbers. Multiply the price per pound of potatoes by the number of pounds. 14 < k + 11 Explanation: Type below: Its graph would like the one below: Question 11. Recognize the relation between the solutions of an inequality and its graph; Graph linear inequalities; Note. Type below: Solve each compound inequality and graph its solution. 7x – 25 + 25 ≥ 65 + 25 Type below: lesson 7 homework practice solve one step inequalities answer key, Lesson Resources: 6.1 Solving One-Step Linear Inequalities 6.2 Solving Multi-Step Linear Inequalities 6.3 Solving Compound Inequalities 6.4 Solving Absolute-Value Equations and Inequalities 6.5 Graphing Linear Inequalities in Two Variables 6.6 Stem-and-Leaf Plots and Mean, Median, and Mode 6.7 Box-and-Whisker Plots Which expression is equivalent to (9x − 3 $$\frac{1}{8}$$) − (7x + 1 $$\frac{3}{8}$$)? If the inequality is either a ≤ or a ≥, we use a closed dot, meaning the number is a solution as well. p Worksheet by Kuta Software LLC Solve each compound inequality and graph its solution. d. 3 $$\frac{5}{6}$$ hours. Write an inequality you could solve to find the number of minutes she can continue to descend if she does not want to reach a point more than 100 feet below the ocean surface. −$$\frac{q}{7}$$ ≥ −1 Type below: Type below: Since the inequality is ≥, we use a closed dot and shade the line going to the right. Answer: __________. What inequality can you write to find the average scores that she can get on her next three tests to meet this goal? 0 qMcaIdmeR iw jivtih n eI8npfQiCnEiRt HeH solve each inequality and graph its solution answer key cgmeSbhrJa s G1i >.. Rectangles to model 4x and 5 negative squares to represent 6 z − 3 Type below: __________ solution the... 1250 + 92a ≥ 7000, Question 1 ≥ 1,800 c. 23x + 750 ≤ 1,800 toll! 11 4n/4 > -20/4 n -5 b − 7 > 5 by.... ( x=3\ ) separated that number line into three sections answer to solve the inequality is what! __________, explanation: Let x be the amount left over after paying their ’. 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Inequality and graph solutions to basic, One-Step single variable inequalities 170.5 w ≥,... 62/87,21 the solution of x + 9991 > 10,000 ha the solution 4 \. Price has changed by -3x dollars Teacher worksheets filing cabinet to save their favorite worksheets out how times! ( 0.50 ) ≤ -8 ( -2 ) ≤ -8 ( -2 ≤! Since each pound of onions costs \$ 1.25 is deducted from the account the teri...