the following inequality has a solution in the form $x \ge a$. solve the inequality and place the correct value of $a$ into the box.

\16x + 16 \ge -17 + 4x\

answer: $x \ge$

enter your answer as an integer or a reduced fraction in the form a/b.

Question

the following inequality has a solution in the form $x \ge a$. solve the inequality and place the correct value of $a$ into the box.

\16x + 16 \ge -17 + 4x\

answer: $x \ge$

enter your answer as an integer or a reduced fraction in the form a/b.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Solving Inequalities" ], "new_concepts": [], "current_concepts": [ "Solving Inequalities", "Linear Inequalities" ] } ## Isolate the variable terms $$ \begin{aligned} 16x + 16 &\ge -17 + 4x \ 16x - 4x + 16 &\ge -17 \ 12x + 16 &\ge -17 \end{aligned} $$ ## Isolate the constant terms $$ \begin{aligned} 12x &\ge -17 - 16 \ 12x &\ge -33 \end{aligned} $$ ## Solve for x and simplify $$ \begin{aligned} x &\ge \frac{-33}{12} \ x &\ge -\frac{11}{4} \end{aligned} $$ The following inequality has a solution in the form $x \ge A$. Solve the inequality and place the correct value of $A$ into the box. $16x + 16 \ge -17 + 4x$ Answer: $x \ge$ $-\frac{11}{4}$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Solving Inequalities" ] }

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QUESTION IMAGE

Question

Explanation:

Isolate the variable terms

Isolate the constant terms

Solve for x and simplify

Answer: