Question

−7x−50≤−1 AND−6x+70>−2

(Choice A)
A
x\geq-7x≥−7x, is greater than or equal to, minus, 7

(Choice B)
B
-7\leq x<12−7≤x<12minus, 7, is less than or equal to, x, is less than, 12

(Choice C)
C
x<12x<12x, is less than, 12


D
There are no solutions

E
All values of xxx are solutions

Answer 1

That other persons explantion and answer is correct.

Explanation:

Answer 2

B. -7 is less than or equal to x, which is less than 12

Explanation:

-7x -50 </= -1

add 50 to both sides

-7x <= 49

divide both sides by -7. When you divide and inequality by a negative number, the direction of the inequality changes.

x >/= -7

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-6x + 70 > -2

subtract 70 from both sides

-6x > -72

divide both sides by -6, flipping the inequality sign

x < 12

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Since the problem says *and*, we can say x is equal than or greater to -7 and less than 12

-7 </= x < 12

please let me know if you have questions, or if the signs don't come through clearly