7th 5-4 Solve Inequalities Using Addition and Subtraction

 Graph the solutions for x−8 ≥ −3.

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Solve x+9 <​ 12, and then graph the solutions.

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Solve the inequality v+20 > 7.

• v > -13

• v > 27

• v < -13

• v < 27

Solve the inequality.

p−20 ≤ 10

• $p\le30$

• $p\le-10$

• $p\ge30$

• $p\ge-10$

Chris pays a fee if her bank balance falls below​ $10 on the statement date. Prior to the statement​ date, her balance was −​$3.46. ​Then, Chris made a deposit d in ample​ time, so she did not have to pay a fee. Which inequality represents the situation?

• $-3.46\ +d\ <10$

• $-3.46\ +d\ >10$

• $-3.46\ +d\ \le10$

• $-3.46\ +d\ \ge10$

Haley solves the inequality −13 ≥ r+7 and graphs the solution on a number line with a solid circle at −20 and an arrow pointing left. Is she​ correct? Support your​ answer, and give the correct description if she is incorrect.

• No. The result of subtracting 7 from both sides is −20≥​r, which is the same as r≤−20. The graph should be an open circle and an arrow pointing left.

• No. The result of subtracting 7 from both sides is −20≤​r, which is the same as r≥−20. The graph should be an open circle and an arrow pointing right.

• No. The result of subtracting 7 from both sides is −20≤​r, which is the same as r≥−20. The graph should be a solid circle and an arrow pointing right.

• Yes. The result of subtracting 7 from both sides is −20≥​r, which is the same as r≤−20. The graph will be a solid circle at −20 and an arrow pointing left.

Beginning from a depth of 35 feet below the​ surface, a whale can swim upward or downward. If the whale swims upward and breaches the surface of the​ water, it can jump to a maximum height of 17 feet above the surface. Which inequality represents the situation?

• $-35\ +r<17$

• $-35\ +r>17$

• $-35\ +r\le17$

• $-35\ +r\ge17$

Last​ month, Diego​'s neighbors paid him to take care of their fish when they went on vacation. He spent ​$13 of his earnings on a book and ​$9 on some art supplies.​ Afterward, he had at most ​$10 left.

• $10<d\ -13-9$

• $10>d\ -13-9$

• $10\le d\ -13-9$

• $10\ge d\ -13-9$

After pitching 6 2/3 innings in his latest​ game, Barron has pitched more innings than his 82 1/3 innings pitched last season. How many innings might he have pitched before his latest​ game?

• He pitched at least 75 2/3 innings

• He pitched more than 75 2/3 innings

• He pitched fewer than 75 2/3 innings

• He pitched less than 75 2/3 innings

 $32\ <15\ +d-6\$  

•  $d<23$  

•  $d>23$  

•  $d<11$  

•  $d>11$