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Solve the inequality  14≤-14-512⁢𝑥 and write the solution using:Inequality Notation:

Question

Solve the inequality

1414512x 14 \leq -14 - 512x
and write the solution using:
Inequality Notation:

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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.

This problem has been solved

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