consider the following inequality:

\2x + 5 \ge 7\

step 1 of 2: solve the linear inequality for the given variable. simplify and express your answer in algebraic notation.

Question

consider the following inequality:

\2x + 5 \ge 7\

step 1 of 2: solve the linear inequality for the given variable. simplify and express your answer in algebraic notation.

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": [ "Linear Inequalities" ], "new_concepts": [], "current_concepts": [ "Linear Inequalities", "Interval Notation" ] } ## Isolate the variable term Using the *Linear Inequalities* knowledge point $$ \begin{aligned} 2x + 5 &\ge 7 \ 2x &\ge 7 - 5 \ 2x &\ge 2 \end{aligned} $$ ## Solve for x Using the *Linear Inequalities* knowledge point $$ \begin{aligned} x &\ge \frac{2}{2} \ x &\ge 1 \end{aligned} $$ Solve the linear inequality for the given variable. Simplify and express your answer in algebraic notation. $x \ge 1$ { "elements": [ { "type": "bentinequality", "params": [{ "x": 1, "operator": ">=", "labelText": "x \ge 1", "strokeColor": "#8C55F2", "strokeWidth": 4 }], "properties": { "name": "Solution Set" } }, { "type": "point", "params": [[1, 0]], "properties": { "name": "1", "size": 4, "color": "#8C55F2", "withLabel": true } } ], "timestamps": [0.5] } { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Linear Inequalities" ] }

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QUESTION IMAGE

Question

Explanation:

Isolate the variable term

Solve for x

Answer: