Question

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

Answer 1

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)

Answer 2

Answer:

Problem #1:  x > -12

Problem #2:  x < 7

Step-by-step 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.