Which inequality does the shaded region correspond to?
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Answer:
y < x + 1
Step-by-step explanation:
identify 2 points along the line (-1,0) and (0,1)
gradient = [tex]\frac{0-1}{-1-0} =1\\\\the \ y \ intercept = 1\\\\y=x+1\\\\[/tex]
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:
y > x + 1
Step-by-step 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