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

x − 3 < −7 or x + 5 greater than or equal to 8

A.A number line with an open circle on −4, shading to the left, and a closed circle on 3, shading to the right

B.A number line with a closed circle on −4, shading to the left, and an open circle on 3, shading to the right

C. A number line with an open circle on −4, a closed circle on 3, and shading in between

D.A number line with a closed circle on −4, an open circle on 3, and shading in between

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mathjasongrace mathjasongrace · Answer 1 · 2017-04-26T03:15:57+02:00

A. A number line with an open circle on -4, shading to the left, and a closed circle on 3, shading to the right

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calculista calculista · Answer 2 · 2018-10-13T19:50:10+02:00

we have the compound inequality

[tex]x-3 < -7[/tex] --------> inequality A

[tex]x < -7+3[/tex]

[tex]x < -4[/tex]

The solution inequality A is the interval-------> (-∞,-4)

A number line with an open circle on [tex]-4[/tex], shading to the left

[tex]x+5 \geq 8[/tex] --------> inequality B

[tex]x \geq 8-5[/tex]

[tex]x \geq 3[/tex]

The solution inequality B is the interval--------> [3,∞)

A number line with a closed circle on [tex]3[/tex], shading to the right

so

The solution inequality A or inequality B is equal to

Solution A +Solution B=(-∞,-4) + [3,∞)

therefore

the answer is the option A

A number line with an open circle on −4, shading to the left, and a closed circle on 3, shading to the right