2z−4≤−3z+62𝑧−4≤−3𝑧+6Step 1 of 2 : Solve the linear inequality for the given variable. Simplify and express your answer in algebraic notation.
Question
2z−4≤−3z+62𝑧−4≤−3𝑧+6Step 1 of 2 : Solve the linear inequality for the given variable. Simplify and express your answer in algebraic notation.
Solution
To solve the inequality 2z - 4 ≤ -3z + 6, follow these steps:
Step 1: Add 3z to both sides of the inequality to get all the z terms on one side. This gives you:
2z + 3z - 4 ≤ 6
Step 2: Simplify the left side of the inequality to get:
5z - 4 ≤ 6
Step 3: Add 4 to both sides of the inequality to isolate the z term:
5z ≤ 10
Step 4: Divide both sides of the inequality by 5 to solve for z:
z ≤ 2
So, the solution to the inequality is z ≤ 2.
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