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Chapter 5: Q46. (page 324)

Graph each inequality.y<2x+1

Short Answer

Expert verified

A graph of given inequality is

Step by step solution

01

Step 1. Write steps to graph inequality.

1. If an inequality contains <or>, then use dotted line and if an inequality contains ≤or≥, then use solid line.

2. Use test point to determine which half plane should be shaded.

3. Shade the half plane that contains the solution.

02

Step 2. Select a test point.

Let (0,0)be a test point. Substitute 0 for xand 0 for yinto y<2x+1.

role="math" localid="1647505236606" 0<2(0)+10<1

Therefore, the half plane containing the origin is the solution.

03

Step 3. Graph an inequality.

Graph an inequality, y<2x+1and shade the half plane containing test point.

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Most popular questions from this chapter

Jane is saving money to buy a new cell phone that costs no more than \(90. So far, she has saved \)52. How much more money does Jane need to save?

  1. \(38
  2. More than \)38
  3. No more than \(38
  4. At least \)38

Solve each inequality. Check your solution.

−8x>24

Tien is saving money for a new television. She needs to save at least to pay for her expenses. Each week Tien saves toward her new television. How many weeks will it take so she can pay for the television?

State whether each sentence is true or false. If false, replace the underlined term to make a true sentence.

The graph of a compound inequality that contains and is the intersection of the graphs of the two inequalities.

Lupe’s allowance for the month is \(60. She wants to go to a concert for which a ticket costs \)45.

  1. Write and solve an inequality that shows how much money she can spend that month after buying a concert ticket.
  2. She spends \(9.99 on music downloads and \)2 on lunch in the cafeteria. Write and solve an inequality that shows how much she can spend after these purchases and the concert ticket.
See all solutions

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