Question

Solve the inequality. Graph the solution.

−8≤25(k−2)

Answer 1

1.68 ≤ k

Explanation:

-8 ≤ 25 (k-2)

-8 ≤ 25k - 50 [to get to this point, distribute the 25 into the parentheses]

42 ≤ 25k [for this step, add positive 50 to both sides of the inequality]

1.68 ≤ k

For the final step, divide both sides by 25 in order to get the variable, k, by itself. Therefore, the final answer for the inequality is the k is greater than or equal to 1.68

To graph it, look at the image attached.

It would be a closed circle as there is a line under the symbol, making it so it can be equal. The arrow is then pointing to the right where k is to show that it's greater than.

Hope this helps!

Answer 2

k ≥ 1 17/25

The graph will be a number line with a filled circle at 1 17/25 and shaded to the right

Explanation:

−8 ≤ 25(k−2)

-8 ≤ 25k - 50

-8 + 50 ≤ 25k

42 ≤ 25k

k ≥ 42/25

k ≥ 1 17/25

The graph will be a number line with a filled circle at 1 17/25 and shaded to the right