URGENT which answer is a solution to the inequality?

1 answer:

7 0

Try them and see.

For the first:
3(-3) + 0 = -9 . . . . not > -8
3(-2) + (-1) = -7 . . . is > -8 . . . . . 2) (-2, -1) is a solution

For the second:
4 - 4(-2) = 12 . . . . not ≤ -6
-2 -4(1) = -6 . . . . . is ≤ -6 . . . . . . 2. (1, -2) is a solution

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AlexFokin [52]

Answer: Choice B) $\sqrt{14}$

We have some value m and we're squaring it to get $m^2$

To undo this and isolate m, we apply the square root to both sides

$m^2 = 14\\\\\sqrt{m^2} = \sqrt{14}\\\\|m| = \sqrt{14}\\\\m = \sqrt{14} \text{ or } m = -\sqrt{14}$

There are two solutions here. This is similar to how there are two solutions in something like $x^2 = 25$ (those two solutions being x = 5 and x = -5). Squaring any negative number leads to a positive result because