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.)
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}.
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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}.
To solve the inequality -4x - 16 ≤ -36, we will follow these steps:
Step 1: Add 16 to both sides of the inequality to isolate the term -4x.
-4x -16 + 16 ≤ -36 + 16
-4x ≤ -20
Step 2: Divide both sides of the inequality by -4. Remember to reverse the inequality symbol when dividing by a negative number.
(-4x) / -4 ≥ (-20) / -4
x ≥ 5
Therefore, the solution to the inequality -4x - 16 ≤ -36, in set-builder notation, is {x | x ≥ 5}.
To solve the inequality -4x - 16 ≤ -36, follow these steps:
Step 1: Add 16 to both sides of the inequality to isolate the variable:
-4x - 16 + 16 ≤ -36 + 16
-4x ≤ -20
Step 2: Divide both sides of the inequality by -4. Note that when dividing an inequality by a negative number, the direction of the inequality sign is reversed:
-4x / -4 ≥ -20 / -4
x ≥ 5
Thus, the solution to the inequality -4x - 16 ≤ -36 is x ≥ 5.
To represent the solution in set-builder notation, we write:
{x | x is greater than or equal to 5}