Which values from the set {-6, -4, -3, -1, 0, 2} satisfy this inequality?
-1/2x + 3 ≥ 5
-6 and -4 only
-6, -4, -3, and -1 only
-1,0, and 2 only
-4, -3,-1, 0, and 2 only
To find which values satisfy the inequality, we need to substitute each value from the set into the inequality and check if the inequality holds true.
Substituting -6: -1/2(-6) + 3 ≥ 5
3 + 3 ≥ 5
6 ≥ 5 (true)
Substituting -4: -1/2(-4) + 3 ≥ 5
2 + 3 ≥ 5
5 ≥ 5 (true)
Substituting -3: -1/2(-3) + 3 ≥ 5
3.5 + 3 ≥ 5
6.5 ≥ 5 (true)
Substituting -1: -1/2(-1) + 3 ≥ 5
3.5 ≥ 5 (false)
Substituting 0: -1/2(0) + 3 ≥ 5
3 ≥ 5 (false)
Substituting 2: -1/2(2) + 3 ≥ 5
2 + 3 ≥ 5
5 ≥ 5 (true)
Therefore, the values that satisfy the inequality are -6, -4, -3, and 2. So the correct answer is -6, -4, -3, and -1 only.