2(−3z+4)>−2z−122(−3𝑧+4)>−2𝑧−12Step 1 of 2 : Solve the linear inequality for the given variable. Simplify and express your answer in algebraic notation.
Question
2(−3z+4)>−2z−122(−3𝑧+4)>−2𝑧−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: 2(-3z + 4) > -2z - 12
Step 1: Distribute the 2 on the left side of the inequality:
-6z + 8 > -2z - 12
Step 2: Add 6z to both sides to isolate z terms on one side:
8 > 4z - 12
Step 3: Add 12 to both sides to isolate the z term:
20 > 4z
Step 4: Divide both sides by 4 to solve for z:
5 > z
So, the solution to the inequality is z < 5.
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