Consider the following inequality:2z+2<−42𝑧+2<−4Step 1 of 2 : Solve the linear inequality for the given variable. Simplify and express your answer in algebraic notation.AnswerKeypadKeyboard ShortcutsIf all real numbers satisfy the inequality, select All Real Numbers. If no real number satisfies the inequality, select No Solution.Selecting one of the alternative options will replace the entered value(s) with the selected value. Otherwise, the entered answer is used.
Question
Consider the following inequality:2z+2<−42𝑧+2<−4Step 1 of 2 : Solve the linear inequality for the given variable. Simplify and express your answer in algebraic notation.AnswerKeypadKeyboard ShortcutsIf all real numbers satisfy the inequality, select All Real Numbers. If no real number satisfies the inequality, select No Solution.Selecting one of the alternative options will replace the entered value(s) with the selected value. Otherwise, the entered answer is used.
Solution
To solve the inequality 2z + 2 < -4, we first isolate the variable z on one side of the inequality.
Step 1: Subtract 2 from both sides of the inequality:
2z + 2 - 2 < -4 - 2
This simplifies to:
2z < -6
Step 2: Divide both sides of the inequality by 2:
2z / 2 < -6 / 2
This simplifies to:
z < -3
So, the solution to the inequality 2z + 2 < -4 is z < -3.
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