solve the inequality $-5x + 24 \ge -1$ and graph the solution on the number line.

a $x \ge 5$

b $x \ge -5$

c $x \le -5$

d $x \le 5$

Question

solve the inequality $-5x + 24 \ge -1$ and graph the solution on the number line.

a $x \ge 5$

b $x \ge -5$

c $x \le -5$

d $x \le 5$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": true, "concepts_used": [ "Linear Inequalities" ], "new_concepts": [], "current_concepts": [ "Linear Inequalities", "Number Line Graphing" ] } ## Restar 24 en ambos lados $$ -5x + 24 - 24 \ge -1 - 24 $$ $$ -5x \ge -25 $$ ## Dividir por -5 e invertir la desigualdad $$ x \le \frac{-25}{-5} $$ $$ x \le 5 $$

A $x \ge 5$

B $x \ge -5$

C $x \le -5$

D $x \le 5$

{ "elements": [ { "type": "line", "params": [[-10, 0], [10, 0]], "properties": { "strokeColor": "#583C87", "strokeWidth": 2 } }, { "type": "point", "params": [[5, 0]], "properties": { "name": "5", "size": 4, "color": "#8C55F2", "withLabel": true } }, { "type": "bentinequality", "params": [{ "x": 5, "operator": "<=", "labelText": "x \le 5" }], "properties": { "strokeColor": "#8C55F2", "strokeWidth": 4 } } ] } { "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Linear Inequalities" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Restar 24 en ambos lados

Dividir por -5 e invertir la desigualdad

Answer: