–1.2x – 6.5x ≤ 2.3x + 5

Answer 1

To solve the inequality –1.2x – 6.5x ≤ 2.3x + 5, let's simplify both sides:

–1.2x – 6.5x ≤ 2.3x + 5

Combine like terms:
–7.7x ≤ 2.3x + 5

Subtract 2.3x from both sides:
–7.7x - 2.3x ≤ 5

Simplify:
–10x ≤ 5

Now divide both sides by –10. Since we are dividing by a negative number, the inequality sign must be flipped:

x ≥ 5/–10

Simplify:
x ≥ –0.5

Therefore, the solution to the inequality –1.2x – 6.5x ≤ 2.3x + 5 is x ≥ –0.5.