Solve the inequality. Then graph the solutions. $$ |x|+6 \leq 13 $$ Select the correct choice below and fill in any answer boxes in your choice. A. The solution is $$ \square \leq x \leq \square $$. (Type integers or simplified fractions.) B. The solution is $$ x=\square $$. (Type an integer or a simplified fraction.) C. The solution is $$ x \leq \square $$ or $$ x \geq \square $$. (Type integers or simplified fractions.) D. The solution is all real numbers. E. There is no solution.

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Solve the equation $$ |x|+6 \leq 13 $$.
Solve the inequality by following steps:
- step0: Solve for $$x$$:
  $$\left|xight|+6\leq 13$$
- step1: Rearrange the terms:
  $$\left|xight|\leq 7$$
- step2: Separate into possible cases:
  $$\left\{ \begin{array}{l}x\leq 7\x\geq -7\end{array}ight.$$
- step3: Find the intersection:
  $$-7\leq x\leq 7$$
The solution to the inequality $$ |x|+6 \leq 13 $$ is $$ -7 \leq x \leq 7 $$.

Therefore, the correct choice is A. The solution is $$ -7 \leq x \leq 7 $$.
The solution is $$ -7 \leq x \leq 7 $$.

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