Question

Solve the inequality |x-3|<2

Answer 1

1<x<5
that sound right?

Answer 2

It's 1<x<5

Answer 3

@dorin2

Answer 4

how to go about

Answer 5

want me to explain it, is that what ur asking?

Answer 6

im 99.99% sure its right nearly , the only mistake that there could possibly be is that somehow i cant see the problem correctly

Answer 7

|x−3|<2

Remove the absolute value term. This creates a ± on the right-hand side of the equation because |x|=±x.

x−3<±(2)

Set up the + portion of the ± solution.

x−3<2

Move all terms not containing x to the right-hand side of the inequality.


x<5

Set up the − portion of the ± solution. When solving the − portion of an inequality, flip the direction of the inequality sign.

x−3>−(2)

Multiply −1 by the 2 inside the parentheses.

x−3>−2

Since −3 does not contain the variable to solve for, move it to the right-hand side of the inequality by adding 3 to both sides.

x>3−2

Subtract 2 from 3 to get 1.

x>1

The solution to the inequality includes both the positive and negative versions of the absolute value.

x<5 and x>1

The solution is the set of values where x<5andx>1.

1<x<5

Answer 8

Thats how u solve it, ur welcome

Answer 9

Thank you.....