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prisoha [69]
3 years ago
6

Which of the following inequalities have -8 in its solution set?

Mathematics
1 answer:
sergeinik [125]3 years ago
3 0
To determine when -8 is a solution, you will replace each variable with -8 and see which statements are true.

A. x + 4, -8 + 4<span> = -4, this is not in between 0 and 1
</span>B. x - 3, -8 - 3 = -11, not between -5 and 2
C. 8x + 7, 8(-8) + 7 = -57 is not between -1 and 1
D. 3x, 3(-8) = -24 is equal to -24, so this one is true

A.  <span>5x, 5(-6) = -30 is not less than -35 or greater than 35
</span>B.  3x - 2, 3(-6) - 2 = -20 is not between -5 and 1
C.  3x + 5, 3(-6) + 5 = -13 is between -16 and 11
D.  x - 5, -6 - 5 = -11 is not between -8 and 3
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Step-by-step explanation:

Given the 2 equations

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Rearrange (2) expressing x in terms of y by subtracting 4y from both sides

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Substitute x = - 6 - 4y into (1)

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Substitute y = - 1 into (3) for corresponding value of x

x = - 6 - 4(- 1) = - 6 + 4 = - 2

Solution is (- 2, - 1 )

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