2z−32<122𝑧−32<12Step 1 of 2 : Solve the linear inequality for the given variable. Simplify and express your answer in algebraic notation.
Question
2z−32<122𝑧−32<12Step 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: 2z - 32 < 12
Step 1: Add 32 to both sides to isolate the term with the variable on one side of the inequality:
2z - 32 + 32 < 12 + 32
This simplifies to:
2z < 44
Step 2: Divide both sides by 2 to solve for z:
2z / 2 < 44 / 2
This simplifies to:
z < 22
So, the solution to the inequality 2z - 32 < 12 is z < 22.
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