Question

Solve |y - 2|<10 Yup

Answer 1

Solving the inequality: $|y - 2|<10$ we get $-8<y<12$

Step-by-step explanation:

We need to solve the inequality: $|y - 2|<10$

Solving:

$|y - 2|<10$

Applying absolute rule: if |u|<a then, -a<u<a

So, $-10<y - 2<10$

We can write it as:

$y-2>-10\,\,and\,\,y - 2<10$

Simplifying:

$y>-10+2\,\,and\,\,y<10+2$

$y>-8\,\,and\,\,y<12$

Combining:

$-8<y<12$

So, solving the inequality: $|y - 2|<10$ we get $-8<y<12$

Keywords: Solving inequalities

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