Question

Write the inequality shown ASAP

Answer 1

y < 3/4x + 1

Explanation:

slope = (4-1)/(4-0) = 3/4

Point: (0,1)

y - 1 < 3/4 (x - 0)

y -1 < 3/4x

y < 3/4x + 1

Answer 2

Answer:
`\text{y} > (3)/(4)\text{x} + 1`

Explanation

Use the slope formula to find the slope of this dashed boundary line is m = 3/4. It means "go up 3, then right 4".

The y intercept is b = 1 since this is where the dashed line crosses the y axis.

The equation of the dashed line is
`\text{y} = (3)/(4)\text{x} + 1` as it's of the form y = mx+b

We replace the equal sign with a "greater than" to shade above this boundary. Points on the dashed boundary are NOT included in the shaded solution set. Think of the boundary as an electric fence you can get closer to but cannot touch.