Solve the inequality. Write the solution in set-builder notation. - 4x - 16 <= - 36 The solutions are given by \ x | Box\ . (Type an inequality. Use integers or fractions for any numbers in the expression. Simplify your answer.)

3 answers

To solve the inequality, we first add 16 to both sides:

-4x - 16 + 16 <= -36 + 16
-4x <= -20

Next, we divide both sides by -4 (remembering to reverse the inequality):

-4x/-4 >= -20/-4
x >= 5

Therefore, the solution in set-builder notation is {x | x >= 5}.
don't listen to the boot he will give u a wrong answer
I apologize if my previous response was incorrect. Let's solve the inequality correctly:

To solve the inequality, we first add 16 to both sides:

-4x - 16 + 16 ≤ -36 + 16
-4x ≤ -20

Next, we divide both sides by -4 (remembering to reverse the inequality since we are dividing by a negative number):

-4x/(-4) ≥ -20/(-4)
x ≥ 5

Therefore, the solution in set-builder notation is {x | x ≥ 5}.