To solve the inequality, we can start by simplifying both sides:
-8x + 6 ≤ 2(-3x + 1)
Distribute the 2 on the right side of the inequality:
-8x + 6 ≤ -6x + 2
Next, we can combine like terms:
-8x + 6x ≤ 2 - 6
Simplifying further:
-2x ≤ -4
To isolate x, we divide both sides of the inequality by -2. However, since we are dividing by a negative number, the direction of the inequality must be reversed:
x ≥ 2
Therefore, the possible values of x are all real numbers greater than or equal to 2. The correct answer is A.
In the inequality, what are all the possible values of x?
−8x + 6 ≤ 2(−3x + 1)
Responses
A x ≥ 2x ≥ 2
B x ≤ 2x ≤ 2
C x > 1/2
D x < −1x < −1
1 answer
1 answer