Question

Solve.

−12x+13>35

Drag and drop a number or symbol into each box to show the solution.

Answer 1

`x \: < \: - 1( 5)/( 6)`

EXPLANATION

The given inequality is

`- 12x + 13 \: > \: 35`

Add -13 to both sides to obtain;

`- 12x + 13 - 13 \: > \: 35 - 13`

Simplify to obtain:

`- 12x + 0 \: > \:22`

`- 12x \: > \: 22`

Divide both sides by -12 and reverse the inequality sign.

`( - 12x)/( - 12) \: < \: ( 22)/( - 12)`

`x \: < \: ( 22)/( - 12)`

This simplifies to

`x \: < \: - ( 11)/( 6)`

We rewrite as mixed number

`x \: < \: - 1( 5)/( 6)`

Answer 2

x< -1.8

Explanation:

-12x+13>35

We leave the variable alone passing the 13 with opposite sign to the other side and subtracting it from 35.

-12x>22

We divide both by the variable, -12x, and it gives x > -1.8. Since the sign of x changed, we flip the sign and the final result is x < -1.8