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solve for $x$ and graph the solution on the number line below.$12 > x +…

Question

solve for $x$ and graph the solution on the number line below.$12 > x + 9 \geq -1$answer attempt 1 out of 2$<$ $>$ $leq$ $geq$ orinequality notation:number line:(click and drag to plot line.)submit answer

Explanation:

Step1: Subtract 9 from all parts

$12 - 9 > x + 9 - 9 \geq -1 - 9$

Step2: Simplify each expression

$3 > x \geq -10$, or rewritten as $\boldsymbol{-10 \leq x < 3}$

Step3: Graph on number line

  • Place a closed circle at $x=-10$ (since the inequality includes equality) and an open circle at $x=3$ (since the inequality does not include equality).
  • Draw a line segment connecting the two points, extending from the closed circle at $-10$ to the open circle at $3$.

Answer:

$-10 \leq x < 3$