Question

Solve the following inequation and represent the solution on the number line in following case:

3x + 2 ≤ 5x – (4 – x)

Answer 1

3x + 2 ≤ 5x – (4 – x)

Simplify the right-hand side

5x − (4 − x) = 5x − 4 + x = 6x − 4

Now the inequality becomes:

3x + 2 ≤ 6x − 4

Subtract 3x from both sides:

2 ≤ 3x − 4

Add 4 to both sides:

6 ≤ 3x

Divide both sides by 3:

x ≥ 2