Question

Which inequality does the shaded region correspond to?

Answer 1

y < x + 1

Explanation:

identify 2 points along the line (-1,0) and (0,1)

gradient =
`(0-1)/(-1-0) =1\\\\the \ y \ intercept = 1\\\\y=x+1\\\\`

let us choose point (0,0) which is within our origin and substitute

0 = 0 +1

0 = 1

but we know 0 < 1

so the region is well represented by : y < x + 1

Answer 2

y > x + 1

Explanation:

→ As the line is upward sloping we can eliminate the 2 negative equations options

y < x + 1 or y > x + 1

→ As the region shaded is above the line y = x + 1, it must be y > x + 1