Question

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

Answer 1

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!

Answer 2

`x < -1`

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`