onsider the following inequality:−2z+4.4<−1.9−z−2𝑧+4.4<−1.9−𝑧Step 1 of 2 : Solve the linear inequality for the given variable. Simplify and express your answer in algebraic notation.
Question
onsider the following inequality:−2z+4.4<−1.9−z−2𝑧+4.4<−1.9−𝑧Step 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 + 4.4 < -1.9 - z, we first need to isolate z.
Step 1: Add z to both sides of the inequality to get -z + 4.4 < -1.9.
Step 2: Subtract 4.4 from both sides of the inequality to get -z < -6.3.
Step 3: Multiply both sides of the inequality by -1 to get z > 6.3.
Remember, when you multiply or divide both sides of an inequality by a negative number, you must reverse the direction of the inequality symbol. So, the solution to the inequality is z > 6.3.
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