Which values from the set {-6, -4, -3, -1, 0, 2} satisfy this inequality?
-1/2x + 3 > 5
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-6 and -4 only
-6, -4, -3, and -1 only
-1,0, and 2 only
-4, -3,-1, 0, and 2 only
To solve the inequality, we need to substitute each value from the set into the inequality and check if it is true or false. Starting with -6:
-1/2(-6) + 3 > 5
3 + 3 > 5
6 > 5
This is true, so -6 satisfies the inequality.
Next, we check -4:
-1/2(-4) + 3 > 5
2 + 3 > 5
5 > 5
This is false, so -4 does not satisfy the inequality.
Next, we check -3:
-1/2(-3) + 3 > 5
3/2 + 3 > 5
9/2 > 5
This is true, so -3 satisfies the inequality.
Next, we check -1:
-1/2(-1) + 3 > 5
1/2 + 3 > 5
7/2 > 5
This is false, so -1 does not satisfy the inequality.
Next, we check 0:
-1/2(0) + 3 > 5
0 + 3 > 5
3 > 5
This is false, so 0 does not satisfy the inequality.
Finally, we check 2:
-1/2(2) + 3 > 5
-1 + 3 > 5
2 > 5
This is false, so 2 does not satisfy the inequality.
Therefore, the values -6 and -3 satisfy the inequality, giving us the answer: -6, -3