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91Ó°ÊÓ

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

9h-7h-1≤4h-23

Short Answer

Expert verified

Graph is as follows:

Solution is[15,∞)

Step by step solution

01

Step 1. Given information.

An inequality is 9h-7h-1≤4h-23.

02

Step 2. Find the solution to the inequality.

Consider the inequality 9h-7h-1≤4h-23

localid="1644301138898" 9h-7h+7≤4h-232h+7≤4h-234h-2h≥7+232h≥30h≥302h≥15
03

Step 3. Graph the obtained solution.

The solution to inequality is h≥15.

The graph is as follows:

04

Solution in interval notation

Solution is h≥15

In interval notation, solution is[15,∞)

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