Lucas and Emily are playing a game, and Emily has the lower score. They started with zero points. Lucas gained 2 points, and Emily lost 3 points.

Which comparison represents Lucas's and Emily's scores?
A. -3 > -2
B. -2 > 3
C. 2 < -3
D. -3 < 2

D

Step-by-step explanation:

Gain is positive

Loss is negative

Lucas's score: 2

Emily's score: -3

-3 < 2

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5