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The image contains two activities focused on solving quadratic inequalities, some by graph representation and others by interval notation.

### Activity 2: Solve by graph representation and interval notation

1. \( x^2 + 2x - 63 < 0 \)
2. \( (x + 2)(4x - 3) \geq 0 \)
3. \( x^2 - x - 72 \geq 0 \)
4. \( m^2 + 11m + 18 > 0 \)
5. \( 2x^2 + x \leq 15 \)

### Activity 3: Solve without using the graph, by interval notation

1. \( x^2 - 14x > 0 \)
2. \( x^2 - 6x + 8 \geq 0 \)
3. \( x^2 + 3x \leq 28 \)
4. \( (x + 1)(x + 4) < 0 \)
5. \( 9x^2 + 3x \geq 2 \)

Would you like to proceed with solving these inequalities? Let me know if you want solutions to specific problems or all of them, and whether you need a detailed explanation.

Solve each of the quadratic inequalities by graph representation and by interval notation. Solve without using the graph, solve the following quadratic inequalities by interval notation.

This page guides you through solving quadratic inequalities by both graph representation and interval notation. It covers essential algebraic concepts like factoring, the quadratic formula, and interval analysis, suitable for high school students.

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