consider the following inequality:
\2z - 5 \ge 5\
step 1 of 2: solve the linear inequality for the given variable. simplify and express your answer in algebraic notation.
answer 2 points
if 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.

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Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": true, "concepts_used": [ "Solving Linear Inequalities" ], "new_concepts": [], "current_concepts": [ "Solving Linear Inequalities" ] } ## Isolate the variable term Using the *Solving Linear Inequalities* knowledge point $$ \begin{aligned} 2z - 5 &\ge 5 \ 2z &\ge 5 + 5 \ 2z &\ge 10 \end{aligned} $$ ## Solve for z Using the *Solving Linear Inequalities* knowledge point $$ \begin{aligned} z &\ge \frac{10}{2} \ z &\ge 5 \end{aligned} $$ Consider the following inequality: $$2z - 5 \ge 5$$ Step 1 of 2: Solve the linear inequality for the given variable. Simplify and express your answer in algebraic notation. $z \ge 5$ { "elements": [ { "type": "bentinequality", "params": [ { "x": 5, "operator": ">=", "labelText": "z \ge 5", "strokeColor": "#8C55F2", "strokeWidth": 3 } ], "properties": { "name": "Solution Set" } } ] } { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Solving Linear Inequalities" ] }

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Explanation:

Isolate the variable term

Solve for z

Answer: