−2x−3>−2−2𝑥−3>−2Step 1 of 2 : Solve the linear inequality for the given variable. Simplify and express your answer in algebraic notation.
Question
Solve the linear inequality for the given variable.
Given the inequality:
Step 1: Rearrange and simplify to express the solution in algebraic notation.
Solution
The given inequality is -2x - 3 > -2.
Step 1: Add 3 to both sides of the inequality to isolate the term with the variable on one side.
-2x - 3 + 3 > -2 + 3
This simplifies to:
-2x > 1
Step 2: Divide both sides of the inequality by -2 to solve for x. Remember, when you divide or multiply both sides of an inequality by a negative number, the direction of the inequality sign changes.
x < -1/2
So, the solution to the inequality -2x - 3 > -2 is x < -1/2.
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