Question

Solve the following inequality for r. Write your answer in simplest form. -5r - 2(-10r - 9)<=-6r + 8 - 9

Answer 1

r ≤ -19/21

Step-by-step to Solve -5r - 2(-10r - 9) ≤ -6r + 8 - 9 explanation:

Combine like term on the right side:

• -5r - 2(-10r - 9) ≤ -6r - 1

Distribute on the left side:

• -5r + 20r + 18 ≤ -6r - 1

Combine like term on the left side:

• 15r + 18 ≤ -6r -1 (Add 6 to both sides)
• 21r + 18 ≤ -1 (Subtract 18 from both sides)
• 21r ≤ -19
• 21r/21 ≤ -19/21 (Divide by 21)
• Get Solution r ≤ -19/21

Solution:

r ≤ -19/21