−8x+14≥60 OR −4x+50<58

Question

could you please help me solve for x with mixed, whole numbers, or improper fractions.

Answer 1

Solve each inequality separately. Remember that when you divide by a negative value, the inequality sign flips.

-8x + 14 ≥ 60 -4x + 50 < 58

Subtract 14 from both sides: -8x ≥ 46 Subtract 50 from both sides: -4x < 8

Divide by -8 and flip ≥ to ≤ Divide by -4 and flip < to >

x ≤ 46/-8; x ≤ -23/4; x ≤ -5.75 x > 8/-4; x > -2

Remember that "or" means union.

x ≤ -23/4 or x > -2