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

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.

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

1. perpendicular

2. parallel

3. perpendicular