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
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.
To find the values that satisfy the inequality 3 + (1/2)x > 4, we can solve it step-by-step.
Step 1: Subtract 3 from both sides of the inequality:
3 + (1/2)x - 3 > 4 - 3
(1/2)x > 1
Step 2: Multiply both sides of the inequality by 2 to eliminate the fraction:
2 * (1/2)x > 2 * 1
x > 2
Now let's check each value in the set {-6, -4, -2, 0, 2, 4, 6} to see which ones satisfy the inequality.
For x = -6:
-6 > 2
This is not true, so -6 does not satisfy the inequality.
For x = -4:
-4 > 2
This is not true, so -4 does not satisfy the inequality.
For x = -2:
-2 > 2
This is not true, so -2 does not satisfy the inequality.
For x = 0:
0 > 2
This is not true, so 0 does not satisfy the inequality.
For x = 2:
2 > 2
This is not true, so 2 does not satisfy the inequality.
For x = 4:
4 > 2
This is true, so 4 satisfies the inequality.
For x = 6:
6 > 2
This is true, so 6 satisfies the inequality.
Therefore, the values from the set {-6, -4, -2, 0, 2, 4, 6} that satisfy the inequality are 4 and 6.
The correct answer is option C: 2, 4, and 6 only.
To solve the inequality 3 + 1/2 x > 4, we can follow these steps:
1. Subtract 3 from both sides of the inequality to isolate the term with x: 1/2 x > 1.
2. Multiply both sides of the inequality by 2 to get rid of the fraction: x > 2.
Now that we have solved the inequality, we can determine which values from the set {-6, -4, -2, 0, 2, 4, 6} satisfy the inequality by checking which values are greater than 2.
From the given set, the values that are greater than 2 are: 4 and 6.
Therefore, the correct answer is c) 2, 4, and 6 only.