Question

What is the solution to the inequality 5 (x + 3) - 4> 3x + 9 + 4x – 6?

Answer 1

x < 4

Explanation:

5(x + 3) - 4 > 3x + 9 + 4x - 6

Distribute;

5x + 15 - 4 > 3x + 9 + 4x - 6

Collect like terms;

5x + 11 > 7x + 3

Subtract 7x from both sides;

-2x + 11 > 3

Subtract 11 from both sides;

-2x > -8

Divide both sides by -2

x < 4

The sign always switches when divided by a negative

Answer 2

4 > x

Explanation:

5 (x + 3) - 4> 3x + 9 + 4x – 6

5x + 15 - 4 > 3x + 4x + 9 - 6

5x + 11 > 7x + 3

11 - 3 > 7x - 5x

8 > 2x

8/2 > x

4 > x

Hope this helps :D