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please answer correctly and ignore the bottom ill do that part just the top for you guys and gals please!

please answer correctly and ignore the bottom ill do that part just the top for you-example-1
User Pablito
by
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1 Answer

5 votes

Answer:

7) x ≥ -3

8) x < -8

Step-by-step explanation:


  • \sf If \ u^n < a, \ then -\sqrt[n]{a} < u < \sqrt[n]{a}

  • \sf If \ u^n > a, \ then \ u < -\sqrt[n]{a} \ \ or \ \ u > \sqrt[n]{a}

7.


\sf -3(2x-7) \leq 39

distribute


\sf -6x + 21 \leq 39

relocate variables


\sf -6x \leq 39-21

simplify


\sf -6x \leq 18

dividing both sides by (-), changes the inequality sign


\sf x \geq -3

8.


\sf 4x + 9 < x - 15

collect like terms


\sf 4x -x < - 15-9

simplify


\sf 3x < - 24

divide both sides by (+)3


\sf x < -8

User Slugmandrew
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4.8k points