Question

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

Answer 1

Answer:

option B

Step-by-step explanation:

The given inequality is 4x + 2y < 3

                                    2y < 3 - 4x

          or                      $\frac{2y}{2}$

                                  y < (-2x) + $\frac{3}{2}$

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 = $\frac{y-y'}{x-x'}$

( -2) = $\frac{0-1.5}{x}$

2x = 1.5

x = $\frac{1.5}{2}$

 = 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.

Answer 2

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