−2x−14>34−2𝑥−14>34Step 1 of 2 : Solve the linear inequality for the given variable. Simplify and express your answer in algebraic notation.
Question
−2x−14>34−2𝑥−14>34Step 1 of 2 : Solve the linear inequality for the given variable. Simplify and express your answer in algebraic notation.
Solution
Sure, let's solve the inequality step by step:
Given inequality: -2x - 14 > 34
Step 1: Add 14 to both sides to isolate the term with x on one side of the inequality:
-2x > 34 + 14
This simplifies to:
-2x > 48
Step 2: Divide both sides by -2 to solve for x. Remember, when you divide or multiply an inequality by a negative number, the direction of the inequality sign changes:
x < -48 / 2
This simplifies to:
x < -24
So, the solution to the inequality -2x - 14 > 34 is x < -24.
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