Question

Solve
1.)solve 15 > - 2x -9
2.) solve 3x + 8 < 29

Answer 1

Problem #1: x > -12

Problem #2: x < 7

Explanation:

Hello!

Problem #1: We must isolate x (solve the inequality for x). First, add 9 to both sides: 24 > -2x. The next step has two parts: Divide both sides by -2 and then reverse the direction of the inequality sign:

24 -2x

---- < ------- => -12 < x. or x > -12

-2 -2

Problem #2: Subtract 8 from both sides: 3x < 21. Then, isolate x by dividing both sides of this rersult by 3: x < 7.

Answer 2

1)
15 > -2x-9
15+9 > -2x
24÷(-2) < x (the sign flips because you divide both sides by a negative number)
Hence, x > -12

2)
3x + 8 < 29
3x < 29-8
3x < 21
x < 7 (tada the answer)