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Chapter 2: Q. 330 (page 184)

Solve the inequality, graph the solution on the number line and write the solution in interval notation.

23p-26-5p>311p-4

Short Answer

Expert verified

Contradiction

No solution

Step by step solution

01

Step 1. Given information. 

The following inequality is given

23p-26-5p>311p-4

02

Step 2. Solving the inequality.

Distributing and combining like terms

23p-12+10p>33p-1233p-12>33p-12

Adding 12 to both sides

33p>33p

Dividing both sides byp

33pp>33pp33>33

Since the given statement is not true, the inequality is a contradiction and it has no solution.

03

Step 3. Graphing the solution on the number line. 

Since the inequality does not have any solution, no graph of the solution can be plotted on the number line.

04

Step 4. Writing the solution in interval notation.

The inequality has no solution.

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