Question

which values from the set {-6, -4, -2, 0, 2, 4, 6} satisfy the inequality?

3 + 1/2 x > 4

a -6, -4, -2, and 0 only
b 0, 2 and 4 only
c 2, 4 and 6 only
d -4, -2 and 0 only

Answer 1

In order to find the values that satisfy the inequality, we need to solve the inequality for x.

3 + 1/2 x > 4

Subtract 3 from both sides:

1/2 x > 1

Multiply both sides by 2 to get rid of the fraction:

x > 2

Now we can check which values from the given set satisfy the inequality:

-6 is NOT greater than 2 (false)
-4 is NOT greater than 2 (false)
-2 is NOT greater than 2 (false)
0 is NOT greater than 2 (false)
2 IS greater than 2 (true)
4 IS greater than 2 (true)
6 IS greater than 2 (true)

Therefore, the values from the set that satisfy the inequality are 2, 4, and 6. So the answer is option c) 2, 4, and 6 only.