Question

Choose the correct description of the graph of the compound inequality 3x + 1 > 10 and 4x less than or equal to 20 (1 point) A number line with an open circle on 3, a closed circle on 5, and shading in between A number line with an open circle on 3, shading to the left, and a closed circle on 5, shading to the right A number line with a closed circle on 3, shading to the left, and an open circle on 5, and shading to the right A number line with a closed circle on 3, an open circle on 5, and shading in between

Answer 1

A number line with an open circle on 3, a closed circle on 5, and shading in between

Explanation:

The solution to the first inequality is ...

3x +1 > 10

3x > 9 . . . . . subtract 1

x > 3 . . . . . . divide by 3

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The solution to the second inequality is ...

4x ≤ 20

x ≤ 5 . . . . . divide by 4

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The solution set is then ...

3 < x ≤ 5

This is represented by a graph with an open circle at 3, a closed circle at 5, and shading between.