Question

What is the solution set for 2x – (x + 5) < 3x – 9 ?

Answer 1

x > 2.

The solution in interval notation is (2, ∞).

Explanation:

2x - (x + 5) < 3x - 9

2x - x - 5 < 3x - 9

2x - x - 3x < -9 + 5

-2x < -4

Divide both sides by -2

x > 2 (Note that the sign flips because we are dividing by a negative)

Answer 2

x > 2

Explanation:

x - 5 < 3x - 9

x - 5 + 5 < 3x - 9 + 5

x < 3x - 4

x - 3x < 3x - 4 - 3x

-2x < -4

(-2x)(-1) > (-4)(-1)

2x > 4

2x/2 > 4/2

x > 2