Problem of the Day

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Problem of the Day Find an integer x that makes
the following two inequalities true 4 lt x2 lt 16
and x lt 2.5
x 3
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Learn to solve multistep inequalities and graph
the solutions of an inequality on a number line.
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Example 1 Solving Two-Step Inequalities
Solve and graph.
4x 1 gt 13
4x 1 gt 13
1 1 Subtract 1 from both sides.
4x gt 12
Divide both sides by 4.
x gt 3
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Example 2 Solving Two-Step Inequalities
Solve 2(x 4) 11x ? 26 and graph.
2(x 4) 11x ? 26
Distributive Property
2x 8 11x ? 26
9x 8 ? 26
Simplify.
8 8 Subtract 8 from both sides.
9x ? 18
Divide each side by 9 change ? to ?.
x ? 2
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Example 3
Solve and graph.
5x 2 gt 12
5x 2 gt 12
2 2 Subtract 2 from both sides.
5x gt 10
Divide both sides by 5.
x gt 2
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Example 4
4x 2 ? 18
4x 2 ? 18
2 2 Subtract 2 from both sides.
4x ? 16
Divide each side by 4 change ? to ?.
x ? 4
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Lesson Quizzes
Standard Lesson Quiz
Lesson Quiz for Student Response Systems
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Lesson Quiz Part I
Solve and graph. 1. 4x 6 gt 10 2. 7x 9 lt 3x
15 3. w 3w lt 32 4. w ?
x gt 4
x lt 6
w gt 16
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Lesson Quiz for Student Response Systems
1. Solve and identify the graph of the
inequality. 6x 5 gt 13 A. x gt 3 B. x gt 3 C.
x lt 3 D. x lt 3
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Lesson Quiz for Student Response Systems
2. Solve and identify the graph of the
inequality. 11x 15 gt 4x 20 A. x gt 5 B. x lt
5 C. x gt 5 D. x lt 5