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Chapter 5: Q6. (page 286)

Solve each inequality. Then graph the solution set on a number line.

k+24>鈭�5

Short Answer

Expert verified

The required solution set is represented by {k|k>鈭�29}and the required graph is,

Step by step solution

01

Step 1. Determine the solution associated with the provided inequality.

Isolate k on any side of the provided inequality.

k+24鈭�24>鈭�5鈭�24k>鈭�29

02

Step 2. Take the help of obtained inequality to write the solution set.

Make the conversion of obtained inequality to the notation named as set builder notation.

k|k>鈭�29

03

Step 3. Represent the obtained solution set in graphical form.

The graphical representation of the obtained solution set will consist of the number greater than -29and there will be an open circle on -29because of symbol.

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Most popular questions from this chapter

Solve each inequality. Check your solution.

w6>鈭�3

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.

Graph each inequality.

y>x鈭�3

Lupe鈥檚 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.

Solve each inequality. Check your solution.

k7<鈭�2
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