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Answered

What compound inequality represents the phrase? Graph the solutions. all real numbers that are greater than –8 and less than 8

A–8 < x < 8


B–8 < x < 8


C–8 < x 8


D–8 x 8

Verified Answer :

meerkat18


The answer to this problem will have to be  –8 < x < 8. apparently the answer could be choice A or B. The numbers that belong here could be -7,-6,-5, -4,-3, -2, -1, 0, 1, 2, 3, 4, 5 ,6 and 7. This also includes numbers that are irrational and rational in between the integers

calculista

we know that

1) the phrase all real numbers that are greater than \(-8\)

represent the inequality-------> \(x> -8\)

2) the phrase all real numbers that are less than \(8\)

represent the inequality-------> \(x< 8\)

therefore

3) the complete phrase all real numbers that are greater than \(-8\) and less than \(8\)


represent the compound inequality------> \(-8 < x < 8\)

the solution is the interval-----> (-8,8)

using a graph tool

see the attached figure

the answer is the option

\(-8 < x < 8\)


View image calculista

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