Question

Which is the graph of 4x+2y<3?

Answer 1

4x + 2y < 3
2y < -4x + 3
y < -2x + 3/2
y < -2x + 1.5
slope -2 ignore last two choices


if you choose to check (0,0) then
0 < -2(0) + 1.5
0 < 1.5
true so shade side with 0,0

the second graph

Answer 2

option B

Explanation:

The given inequality is 4x + 2y < 3

2y < 3 - 4x

or
`(2y)/(2)<(3-4x)/(2)`

y < (-2x) +
`(3)/(2)`

Here slope of the line is ( -2 )

So the line will pass through either ( 0, 1.5 ) and ( x, 0 )

Therefore, from the formula of slope

slope =
`(y-y')/(x-x')`

( -2) =
`(0-1.5)/(x)`

2x = 1.5

x =
`(1.5)/(2)`

= 0.75

Therefore, points from which this line passes are ( 0, 1.5 ) and ( 0.75, 0 )

Now from the inequality " < " sign denotes that shaded portion will be below on left side of the line.

Therefore, option B will be the answer.