1. Inequalities and Their Graphs
ALGEBRA 1 LESSON 10-1
(For help, go to Lesson 1-3.)
Graph the numbers on the same number line. – 9 3
Complete each statement with <, =, or >.
6. – – (–3)(–4)
9. –1 – – 3 4 – 4 5 – 1 3 1 3 1 2 1 2
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2. Inequalities and Their Graphs
ALGEBRA 1 LESSON 10-1
Solutions
1.–5.
6. –3 > – < 4.8
8. (–3)(–4)
12 = 12
9. –1 – – 9
–3 = –3 3 4 – 5
10.
–0.75 > –0.8 1 3 2
11. +
< 1
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3. Inequalities and Their Graphs
ALGEBRA 1 LESSON 10-1
Is each number a solution of x 5?
>
a. –2
b. 10 c. 25 5
No, – is not true.
>
Yes, is true.
>
Yes, is true.
>
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4. Inequalities and Their Graphs
ALGEBRA 1 LESSON 10-1
Is each number a solution of 3 + 2x < 8?
a. –2
b. 3
3 + 2x < 8
3 + 2x < 8
3 + 2(–2) < 8
Substitute for x.
3 – 4 < 8
Simplify.
3 + 2(3) < 8
Substitute for x.
3 + 6 < 8
Simplify.
–1 < 8
Compare.
9 < 8
Compare.
–2 is a solution.
3 is not a solution.
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5. Inequalities and Their Graphs
ALGEBRA 1 LESSON 10-1
a. Graph d < 3.
b. Graph –3 ≥ g.
The solutions of d < 3 are all the points to the left of 3.
The solutions of –3 g are –3 and all the points to the left of –3.
>
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6. Inequalities and Their Graphs
ALGEBRA 1 LESSON 10-1
Write an inequality for each graph.
x < 2 Numbers less than 2 are graphed.
x –3 Numbers less than or equal to –3 are graphed.
<
x > –2 Numbers greater than –2 are graphed.
>
x Numbers greater than or equal to are graphed. 1 2
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7. Inequalities and Their Graphs
ALGEBRA 1 LESSON 10-1
Define a variable and write an inequality for each situation.
a. A speed that violates the law when the speed limit is 55 miles per hour.
b. A job that pays at least $500 a month.
Let v = an illegal speed.
Let p = pay per month.
The speed limit is 55, so v > 55.
The job pays $500 or more, so p
>
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8. Inequalities and Their Graphs
ALGEBRA 1 LESSON 10-1
1. Is each number a solution of x > –1?
a. 3 b. –5
2. Is 2 a solution of 3x – 4 < 2?
3. Graph x > 4.
4. Write an inequality for the graph.  
5. Graph each inequality.
a. t is at most 2. b. w is at least 1.
yes no no
p –2
<
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