Question

Graph the solution of the inequality on a number line. x − (5 − 3x) ≤ 2x − 1

Answer 1

x <= 2

Explanation:

x - (5 - 3x) <= 2x - 1

x - 5 + 3x <= 2x - 1

4x - 5 <= 2x - 1

4x <= 2x + 4

2x <= 4

x <= 2

Best of Luck!

Answer 2

• x ≤ 2

Explanation:

• x − (5 − 3x) ≤ 2x − 1
• x - 5 + 3x ≤ 2x - 1
• 4x - 5 ≤ 2x - 1
• 4x - 2x ≤ 5 - 1
• 2x ≤ 4
• x ≤ 2 or x ∈ (- oo, 2]

The graph includes all point to the left from point 2, same point included