Which of the following is (are) the solution(s) to |x-13|< 18

-5<x<31

Step-by-step explanation:

First define the type of problem. In this case the problem you are dealing with is an absolute value inequality.

Next set up your problem. Because this problem has an absolute value you will write and solve two inequalities: x -13 < 18 and x-13 > -18. This is due to absolute value problems ignoring the sign of numbers. for example the absolute value of -5 s equal to the absolute value of 5. Due to this fact your problem will be satisfied when x-13 is greater than -18 and less than positive 18. you flip the inequality symbol on the equation X - 13 > -18 because the sign of one of the sides changes in this case the 18 becomes negative.

After setting up your equations solve one then the other. To solve the inequality x-13< 18 simply add 13 to the each side. the answer to the this inequality is x<31.

Next solve the second equation. To solve  x-13 > -18 add 13 to each side. The answer to this inequality is x > -5

Finally combine the two answers because X > -5 and X < 31 the solutions to the problem would be all real numbers between -5 and 31 or in other words -5<x<31.

a line is an defined derm because it

a)contains an infinite number of points b) can be used to create other geometric shapes c)describes something that does not have width or depth d) is a term that does not have a formal definition. a line is an undefined term because it: contains an infinite number of points.