Lesson 3.1 Graph Inequalities and solutions

Lesson 3.1 Graph Inequalities and solutions

by Danielle Pedroso

​Solutions of Inequalities

The solution or solutions to an equation or inequality is the value or values of the variable that make the equation or inequality true.

While equations often have only one solution, inequalities frequently have multiple solutions.

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Example:

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Multiple Choice

Is 3 a solution to the inequality?

3x + 2 < 1

• Yes

• No

Multiple Choice

Is -1 a solution to the inequality?

6 + 5x > 2

• Yes

• No

​Graphing Inequalities

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Multiple Choice

Match the graph with its inequality.

• a > 11

• a < 11

• a ≥ 11

• a ≤ 11

Multiple Choice

When you graph an inequality, you use a closed dot when you use which symbols?

• ≤, ≥ 

• ≤, <

• <, >

• ≥, >

Multiple Choice

When graphing an inequality, you use an open dot when you use which symbol?

• <, >

• ≤, ≥ 

• ≤, <

• ≥, >

Multiple Choice

Pick the correct letter for: x < 6

• A

• B

• C

• D

Multiple Choice

What inequality does the number line graph represent

• x ≤ 4

• x < -4

• x ≥ -4

• x < 4

Multiple Choice

What inequality does the number line graph represent?

• x ≤ -3

• x < -3

• x > 3

• x ≥ 3