Question

Solve the inequality -5/4(8x+4)<6-3x. Show your work.

Answer 1

Answer:

x > -11/7

Step-by-step explanation:

-10x - 5 < 6 - 3x

-5 -6 < -3x + 10x

7x > -11

x > -11/7

Answer 2

Answer:

$x>-\frac{11}{7}$

Step-by-step explanation:

Step 1:  Distribute

$-\frac{5}{4} (8x+4)$

$(-\frac{5}{4} *8x)+(-\frac{5}{4} *4)$

$-\frac{40x}{4}-\frac{20}{4}$

$-10x-5$

Step 2:  Add 10x to both sides

$-10x-5\mathbf{+10x}$

$-5$

Step 3:  Subtract 6 from both sides

$-5\mathbf{-6}$

$-11$

Step 4:  Divide both sides by 7

$-11\mathbf{/7}$

$x>-\frac{11}{7}$

Answer:  $x>-\frac{11}{7}$