Question

Help :/
Choose the correct description of the graph of the compound inequality

2x + 5 > 9 and 5x less than or greater to 30

A number line with an open circle on 2, shading to the left, and a closed circle on 6, shading to the right.

A number line with an open circle on 2, a closed circle on 6, and shading in between.

A number line with a closed circle on 2, shading to the left, and an open circle on 6, shading to the right.

A number line with a closed circle on 2, an open circle on 6, and shading in between.

Answer 1

2x + 5 > 9

2x + 5-5 > 9-5

2x > 4

2x/2 > 4/2

x > 2

Answer 2

So 2x + 5 > 9 turns into x > 2

Answer 3

5x <= 30

5x/5 <= 30/5

x <= 6

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So 5x <= 30 turns into x <= 6

Answer 4

this means

2x + 5 > 9 and 5x less than or greater to 30

is the same as

x > 2 and x <= 6

Answer 5

assuming that the "less than or greater to" is actually "less than or equal to"

Answer 6

You can solve an inequality for x the same way you would solve an equation for x with only 1 little difference. If you multiply or divide both sides of the equation by a negative, then you have to switch the direction of the inequality arrow.