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Chapter 2: Q331. (page 184)

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

18q-410-3q<56q-8

Short Answer

Expert verified

Contradiction

No solution

Step by step solution

01

Step 1. Given information.

The following inequality is given

18q-410-3q<56q-8

02

Step 2. Solving the inequality.

Distribute and combine like terms

18q-40+12q<30q-4030q-40<30q-40

Subtracting 30qfrom both sides

-40<-40

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

03

Step 3. Graphing the solution on the number line.

Since the inequality has no solution, the graph of the solution on the number line does not exist.

04

Step 4. Writing the solution in interval notation.

The inequality has no solution.

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