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In the following exercise, solve each inequality, graph the solution, and write the solution in interval notation.

34x-5≥-2and-3x+1≥6

Short Answer

Expert verified

The compound inequality has no solution.

So, it's not possible to draw a graph.

Step by step solution

01

Step 1. Given information

Inequalities are34x-5≥-2and-3x+1≥6

02

Step 2. Solution of the compound inequality.

Consider the inequality 34x-5≥-2

34x-5≥-234x≥3x≥4

Consider the inequality -3x+1≥6

-3x-3≥6-3x≥9-x≥3x≤-3

The compound inequality has no solution.

03

Step 3. Graph of the solution

The compound inequality has no solution.

So, it's not possible to draw a graph.

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