Question

Which value from the set { -6, -4, -1, 0, 2, 4} satisfy the inequality?

−1/2x + 4 ≥ 6

Answer 1

-4

Explanation:

To find the value from the given set that satisfies the inequality, we can substitute each value into the inequality and see which one makes it true.

−1/2x + 4 ≥ 6

Subtracting 4 from both sides:

−1/2x ≥ 2

Multiplying both sides by -2 (and reversing the inequality):

x ≤ -4

Now we can check each value from the set and see which one satisfies the inequality:

-6 ≤ -4 (not true)

-4 ≤ -4 (true)

-1/2 ≤ -4 (not true)

0 ≤ -4 (not true)

2 ≤ -4 (not true)

4 ≤ -4 (not true)

Therefore, the only value that satisfies the inequality is -4.