Solve the inequality 14≤-14-512𝑥 and write the solution using:Inequality Notation:
Question
Solve the inequality 14≤-14-512𝑥 and write the solution using:Inequality Notation:
Solution
Sure, let's solve the inequality step by step.
Given inequality is 14 ≤ -14 - 512x
Step 1: Add 14 to both sides to isolate the term with x on one side.
14 + 14 ≤ -14 - 512x + 14
This simplifies to:
28 ≤ -512x
Step 2: Divide both sides by -512 to solve for x. Remember, when you divide by a negative number, the direction of the inequality sign changes.
28 / -512 ≥ x
This simplifies to:
x ≥ -28/512
Step 3: Simplify the fraction.
x ≥ -0.0546875
So, the solution in inequality notation is x ≥ -0.0546875.
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