Question

Solve the compound inequalities: −7x−10≤60 and x−7<−6

Write the answer in interval notation [ ] ( )

Answer 1

x= [ -10, 1)

Explanation:

Given

• −7x−10≤60 and x−7<−6

Solving first one

• −7x−10≤60
• -7x ≤ 70
• x ≥ -10

Solving second one

• x−7<−6
• x < 7 - 6
• x < 1

Combined:

• -10 ≤ x < 1

Interval

• x= [ -10, 1)