Question

Solve the Answer for x.
56 < 7(7-x)

Answer 1

Answer:

$x < -1$

Step-by-step explanation:

Step 1:  Distribute

$56 < 7(7 - x)$

$56 < (7 * 7) + (7 * -x)$

$56 < 49 - 7x$

Step 2:  Subtract 49 from both sides

$56 - 49 < 49 - 7x- 49$

$7 < -7x$

Step 3:  Divide both sides by -7

$7 / -7 < -7x / -7$

Since you divided by a negative, you must flip the sign.

$7 / -7 < -7x / -7$

$-1 > x$

Answer:  $x < -1$

Answer 2

Steps to solve:

56 < 7(7 - x)

~Distributive Property

56 < (7*7) + (7*-x)

~Simplify

56 < 49 - 7x

~Subtract 49 to both sides

56 - 49 < 49 - 49 - 7x

~Simplify

7 < -7x

~Divide 7 to both sides

7/-7 < 7x/-7

~Simplify

-1 > x

Best of Luck!