Solving Quadratic Inequalities

6x² - 54 ≤ 0

• -3 ≤ x ≤ 3

• x ≤ -3 or x ≥ 3

• -3 < x < 3

• x < -3 or x > 3

5x² + 10x + 7 ≥ 0

• no solution

• all reals

• x ≤ 5 or x ≥ 7

• 5 ≤ x ≤ 7

-3x² + 6x - 3 > 0

• no solution

• all reals

• x = 1

• x ≠ 1

2x² + 9x - 143 < 0

• -11 < x < 6.5

• -11 ≤ x ≤ 6.5

• no solution

• all reals

-3x² + 45 ≥ 6x

• -5 < x < 3

• -5 ≤ x ≤ 3

• x < -5 or x > 3

• x ≤ -5 or x ≥ 3

-3x² + 3x - 6 ≤ 0

• no solution

• all reals

• x = 1

• x ≠ 1

-8x² - 9 ≥ 0

• no solution

• all reals

• x = 1.125

• x ≠ 1.125