$$ \left.\left.\begin{array}{l} ext { Solve the inequality. Write the solution set in interval notation if possible. Simplify your answer, if necessary. } \ m^{2}

Question

$$ \left.\left.\begin{array}{l}	ext { Solve the inequality. Write the solution set in interval notation if possible. Simplify your answer, if necessary. } \ m^{2}<49 \ 	ext { The solution set is } \square . \square \ (\square, \square)[\square, \square]\end{array} \square \square, \squareight)ight] . ~\left[\begin{array}{ll}\square\end{array}ight] $$

UpStudy AI · Accepted Answer

To solve the inequality $$ m^2 < 49 $$:

1. Rewrite the inequality as
   $$
   m^2 < 49.
   $$
   
2. Recognize that this inequality means the square of $$ m $$ is less than 49, which is equivalent to the absolute value inequality
   $$
   |m| < 7.
   $$

3. The absolute value inequality $$ |m| < 7 $$ translates to the double inequality
   $$
   -7 < m < 7.
   $$

4. In interval notation, this is written as
   $$
   (-7, 7).
   $$

Thus, the solution set is $$ (-7, 7) $$.
The solution set is $$ (-7, 7) $$.

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