six times a number is at least four less than eight times the number. if \$x\$ represents the number, which will help find the number?

\$6x < 8x - 4\$
\$6x \le 8x - 4\$
\$6x \ge 8x - 4\$
\$6x > 8x - 4\$

Question

six times a number is at least four less than eight times the number. if $x$ represents the number, which will help find the number?

$6x < 8x - 4$
$6x \le 8x - 4$
$6x \ge 8x - 4$
$6x > 8x - 4$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Translating Inequalities" ], "new_concepts": [], "current_concepts": [ "Translating Inequalities", "Solving Linear Inequalities" ] } ## Translate the verbal phrases into algebraic expressions $$ \begin{aligned} &\text{"Six times a number": } 6x \ &\text{"Eight times the number": } 8x \ &\text{"Four less than eight times the number": } 8x - 4 \end{aligned} $$ ## Translate the inequality relation $$ \begin{aligned} &\text{"is at least": } \ge \end{aligned} $$ ## Combine into the final inequality $$ 6x \ge 8x - 4 $$

(A) $6x < 8x - 4$

(B) $6x \le 8x - 4$

(C) $6x \ge 8x - 4$

(D) $6x > 8x - 4$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Translating Inequalities" ] }

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Question

Explanation:

Translate the verbal phrases into algebraic expressions

Translate the inequality relation

Combine into the final inequality

Answer: