Solving Quadratic Inequalities

Which inequality is represented by the graph?

• y > (x - 3)² - 3

• y ≥ (x + 3)² - 3

• y > (x + 3)² - 3

• y ≥ (x - 3)² - 3

Is the point (2, 1) a solution to the inequality shown?

• Yes

• No

Solve the inequality.

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Answer explanation

When graphed in Desmos, interval can be seen.

In graphing quadratic inequality, we use ______________ when the given inequality symbol is \ge and \le .

Which of the following is the correct interval of x² + 2x -24 > 0

• x > -6

• x > 4

• x < 4

• 4 < x < -6

Solutions are in the ___________ area.

• non-shaded

• shaded

• vertex

• axis of symmetry

Which of the following graphs below represents the solution to the system of quadratic equations?

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Answer explanation

Pay attention to the difference between < and <= :) Remember that < and > indicate a dashed line whereas <= and >= results in solid lines.

Which of the following is the solution of the given Quadratic Inequality?

• 5 < y < 12

• 7 < y < 10

• 8 < y < 9

• 6 < y < 11