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Ber [7]
2 years ago
8

-1+5x≥-16 I dont know how to solve

Mathematics
1 answer:
olasank [31]2 years ago
7 0

Answer:  x \ge -3

Explanation:

Follow PEMDAS in reverse to undo what's happening to x.

We first add 1 to both sides, then divide both sides by 5 to fully isolate x.

Refer to the steps below to see what I mean.

-1 + 5x \ge -16\\\\5x \ge -16+1\\\\5x \ge -15\\\\x \ge -15/5\\\\x \ge -3\\\\

The inequality sign stays the same the entire time. The only time it flips is when you divide both sides by a negative number.

The solution set for x is anything -3 or larger.

If x was an integer, then we could say the solution set is {-3, -2, -1, 0, 1, 2, 3, 4, 5, 6, ...}

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