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4 votes
Solve.

|y| +15 <28
If all real numbers are solutions, click on "All reals".
If there is no solution, click on "No solution".

User Gfbio
by
8.5k points

2 Answers

3 votes

Answer:


-13 < y < 13

Explanation:

To solve the absolute value inequality, begin by isolating the absolute value on one side of the equation:


\begin{aligned}|y| +15 &amp; < 28\\\\|y| +15-15 &amp; < 28-15\\\\|y|&amp; < 13\end{aligned}

Apply the absolute value rule:


\boxed{\textsfIf\;\;$}

Therefore:


-13 < y < 13

So, the solution to the given absolute value inequality is:


\Large\boxed{\boxed{-13 < y < 13}}

User Adriennoir
by
8.2k points
5 votes

Answer:

All reals

Explanation:

To solve the absolute value inequality
\sf |y| + 15 < 28, we can start by isolating the absolute value term:


\sf |y| + 15 < 28

Subtract 15 from both sides:


\sf |y| + 15 -15 < 28 - 15


\sf |y| < 13

This inequality means that the distance between
\sf y and 0 on the number line is less than 13.

Therefore, any real number
\sf y that is within the interval
\sf (-13, 13) satisfies the inequality.

So, the solution is "All reals."

User Athiwat Chunlakhan
by
8.9k points
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