−2z+3<−5−2𝑧+3<−5Step 1 of 2 : Solve the linear inequality for the given variable. Simplify and express your answer in algebraic notation.
Question
−2z+3<−5−2𝑧+3<−5Step 1 of 2 : Solve the linear inequality for the given variable. Simplify and express your answer in algebraic notation.
Solution
The given inequality is -2z + 3 < -5.
Step 1: Subtract 3 from both sides of the inequality to isolate the term with the variable on one side. This gives us -2z < -5 - 3.
Step 2: Simplify the right side of the inequality to get -2z < -8.
Step 3: Divide both sides of the inequality by -2 to solve for z. Remember that when you divide or multiply an inequality by a negative number, the direction of the inequality sign changes. So, we get z > 4.
So, the solution to the inequality is z > 4.
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