Solve the inequality. Graph the solutions. $$ |7 \mathrm{x}|-4 $$ Select the correct choice below and fill in any answer boxes in your choice. A. The solution is $$ \square\square $$. (Type integers or simplified fractions.) C. The solution is $$ x=\square $$. (Type an integer or a simplified fraction.) D. The solution is all real numbers. E. There is no solution.

Question

Solve the inequality. Graph the solutions. $$ |7 \mathrm{x}|>-4 $$ Select the correct choice below and fill in any answer boxes in your choice. A. The solution is $$ \square\square $$. (Type integers or simplified fractions.) C. The solution is $$ x=\square $$. (Type an integer or a simplified fraction.) D. The solution is all real numbers. E. There is no solution.

UpStudy AI · Accepted Answer

Solve the equation $$ |7x|>-4 $$.
Solve the inequality by following steps:
- step0: Solve for $$x$$:
  $$\left|7x\right|>-4$$
- step1: Rewrite the expression:
  $$7\left|x\right|>-4$$
- step2: The statement is true for any value of $$x:$$
  $$x \in \mathbb{R}$$
The solution to the inequality $$|7x| > -4$$ is all real numbers.

Therefore, the correct choice is:
D. The solution is all real numbers.
D. The solution is all real numbers.

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