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Question

12:56

Question
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 > 12
x > 1 2
D x < −1

Answer 1

To find the possible values of x in the inequality −8x + 6 ≤ 2(−3x + 1), we can simplify the inequality by distributing and combining like terms:

-8x + 6 ≤ -6x + 2

Next, we can isolate the variable x by moving all terms with x to one side of the inequality:

-8x + 6x ≤ 2 - 6

-2x ≤ -4

Now, we divide both sides of the inequality by -2. Remember that when dividing by a negative number, we need to reverse the inequality sign:

x ≥ 2

Therefore, the possible values of x in the inequality are x ≥ 2.

So, the correct answer is A. x ≥ 2