Solve the inequality. Write the solution in set-builder notation.
negative 4 x minus 18 greater than or equals minus 34
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Part 1
The solutions are given by {x | enter your response here
}.
(Type an inequality. Use integers or fractions for any numbers in the expression. Simplify your answer.)
The inequality can be written as -4x - 18 ≥ -34.
To solve for x, we can first add 18 to both sides of the inequality:
-4x - 18 + 18 ≥ -34 + 18
Simplifying, we have:
-4x ≥ -16
Next, we can divide both sides of the inequality by -4. Remember that when dividing or multiplying by a negative number, the inequality sign is reversed:
-4x/(-4) ≤ -16/(-4)
Simplifying, we have:
x ≤ 4
Therefore, the solutions to the inequality are given by {x | x ≤ 4}.