Transcript Solving Multi-Step Inequalities

Solving Two-Step and
3-4 Multi-Step Inequalities
Objective
Solve inequalities that contain more than one
operation.
Holt Algebra 1
Solving Two-Step and
3-4 Multi-Step Inequalities
INEQUALITY
• To solve an __________,
• use ________
INVERSE ___________
OPERATIONS just like you
would to solve an equation, except
• when you multiply or divide by a negative,
“FLIP” the inequality.
• you must _______
Holt Algebra 1
Solving Two-Step and
3-4 Multi-Step Inequalities
Example 1
Solve the inequality and graph the solutions.
8 – 3y ≥ 29
–8
–8
–3y ≥ 21
y ≤ –7
–7
–10 –8 –6 –4 –2
Holt Algebra 1
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Solving Two-Step and
3-4 Multi-Step Inequalities
Example 2
Solve the inequality and graph the solutions.
x + 5 < –6
–5 –5
x < –11
–11
–20
–16
Holt Algebra 1
–12
–8
–4
0
Solving Two-Step and
3-4 Multi-Step Inequalities
Example 3
Solve the inequality and graph the solutions.
–4(2 – x) ≤ 8
−4(2 – x) ≤ 8
–8 + 4x ≤ 8
+8
+8
4x ≤ 16
x≤4
–10 –8 –6 –4 –2
Holt Algebra 1
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Solving Two-Step and
3-4 Multi-Step Inequalities
Example 4
Solve the inequality and graph the solutions.
4f + 3 > 2
–3
–3
4f > –1
Holt Algebra 1
Solving Two-Step and
3-4 Multi-Step Inequalities
Example 4 Continued
4f > –1
0
Holt Algebra 1
Solving Two-Step and
3-4 Multi-Step Inequalities
Example 5
Solve the inequality and graph the solutions.
5 < 3x – 2
+2
+2
7 < 3x
Holt Algebra 1
Solving Two-Step and
3-4 Multi-Step Inequalities
Example 5
Solve the inequality and graph the solutions.
7 < 3x
0
2
Holt Algebra 1
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