\2z + 4 \le -2\

solve for the given variable. simplify and express your answer in algebraic notation.

if all real numbers satisfy the inequality, select all real numbers. if no real number satisfies the inequality, select no solution.

selecting an option will replace the entered value(s) with the selected value. otherwise, enter your answer in the box.

box
- no solution
- all real numbers

Question

\2z + 4 \le -2\

solve for the given variable. simplify and express your answer in algebraic notation.

if all real numbers satisfy the inequality, select all real numbers. if no real number satisfies the inequality, select no solution.

selecting an option will replace the entered value(s) with the selected value. otherwise, enter your answer in the box.

box
- no solution
- all real numbers

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": true, "concepts_used": [], "new_concepts": [ "Linear Inequalities", "Algebraic Simplification" ], "current_concepts": [ "Linear Inequalities", "Algebraic Simplification" ] } ## Subtract constant from both sides $$ \begin{aligned} 2z + 4 &\le -2 \ 2z &\le -2 - 4 \ 2z &\le -6 \end{aligned} $$ ## Divide by coefficient of variable $$ \begin{aligned} z &\le \frac{-6}{2} \ z &\le -3 \end{aligned} $$ Solve the inequality for the given variable. Simplify and express your answer in algebraic notation. $z \le -3$ { "elements": [ { "type": "bentinequality", "params": [{ "x": -3, "operator": "<=", "labelText": " z \le -3 " }], "properties": { "strokeColor": "#8C55F2", "strokeWidth": 3 } } ], "timestamps": [0.5] } { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Linear Inequalities" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Subtract constant from both sides

Divide by coefficient of variable

Answer: