X+4y<4 linear inequalities

Question

asked Sep 28, 2022 15.9k views

1 Answer

Yeahman · Answer 1 · 2022-10-02T17:42:22+0000

Answer:

See Explanation

Explanation:

Given

x + 4y < 4

The question is incomplete, as what is to be done is not stated.

However, possible sub-questions could be to determine the slope and the y-intercept for the boundary line.

To calculate slope, we have:

x + 4y < 4

Solve for 4y

4y < - x + 4

Solve for y

y < -(x)/(4) + (4)/(4)

y < -(1)/(4)x + 1

A linear inequality is represented as:

y <mx + b

Where
m =slope and
$b = y\ intercept$

So:

By comparison:

mx = -(1)/(4)x

m = -(1)/(4)

and

b = 1

So:

Slope = -(1)/(4)

$y\ intercept = 1$

Also, see attachment for graph