1. solve |x| < 13
a) {-13, 13}
b) {x|-13 < x < 13}
c) {x|x < -13 or x > 13}

2. |x| > 4
a) {-4, 4}
b) {x|-4 < x < 4}
c) {x|x < -4 or x > 4}

B) {x|-13 < x < 13}

C) {x|x < -4 or x > 4}

Step-by-step explanation:

Given in the question,

Remove the absolute value term.

If your absolute value is less than a number, then set up a three-part compound inequality that looks like this:

-(number on other side) < (quantity inside absolute value) < (number on other side)

-13 < x < 13

If your absolute value is greater than a number, then set up an "or" compound inequality that looks like this:

(quantity inside absolute value) < -(number on other side)

OR

(quantity inside absolute value) > (number on other side)

x < - 4 or x > 4

step-by-step explanation:

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,