Question

Solve. x/2 ≤ -4 a. x ≤ -2 b. x ≥ -2 c. x ≤ -8 d. x ≥ -8

Answer 1

Answer: Choice C,  x ≤ -8

x is less than or equal to -8

put another way, x can be -8 or it can be smaller than -8

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We have some unknown number x, and we divide it by 2. The result is -4 or smaller. To find possible values for x, we need to solve for it. To do this, we multiply both sides by 2. Multiplication will undo division.

On the left side, the x/2 turns into x after you multiply it by 2.

On the right side, the -4 turns into -8 after you multiply it by 2

So that's how we go from x/2 ≤ -4 to x ≤ -8

Extra info: To graph this on a number line, plot a filled in closed circle at -8 on the number line. Then shade to the left of the closed circle. The closed circle says "include this value in the solution set". The shaded region represents all the values smaller than -8, eg the value -10.