Inequalities

Solve: x + 3 > 7

Hint: Subtract 3 from both sides

Solve: 2x < 10

Hint: Divide both sides by 2

Solve: x - 5 >= 2

Hint: Add 5 to both sides

Solve: 3x + 1 <= 16

Hint: Subtract 1, then divide by 3

Solve: -2x > 8 (what happens to the sign?)

Hint: Dividing by a negative flips the inequality sign

Solve: 4x - 3 > 2x + 7

Hint: Subtract 2x from both sides, then add 3

Solve: -3x + 6 <= 0

Hint: Subtract 6, then divide by -3 (flip the sign)

Solve: 5 - x < 3

Hint: Subtract 5, then multiply by -1 (flip the sign)