Question

X+4y<4 linear inequalities

Answer 1

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