Question

Which answer shows y-3x<-x+4, rewritten to isolate y, and its graph

A. y < 4x + 4
B. y < 2x + 4

Answer 1

We are given inequality : y-3x<-x+4.

We need to isolate it for y on left side.

In order to isolate it for y, we need to get rid -3x from left side.

3x is being subtracted from left side.

The reverse operation of subtraction is addition.

Adding 3x on both sides, we get

y-3x+3x<-x+3x+4.

y < 2x+4

Therefore, correct option is second option.

B. y < 2x + 4.

Answer 2

Answer with explanation:

The inequality which has two variables , x and y

y- 3 x < - x + 4

Adding , 3 x on both sides

y - 3 x + 3 x < - x+ 4+ 3 x

y < -x + 3 x + 4→→Using Associative property of addition

y< 2 x+4

→y - 2 x < 4

Option : B →y < 2 x + 4

Plotting the graph of Linear Inequality