Question

Which linear inequality will not have a shared solution set with the graphed linear inequality?

y < x – 2
y < x + 1
y > x + 2
y > x + 2

Answer 1

c.............................

Answer 2

Option C. y > x + 2

Explanation:

It is given in the graph the shaded part which is below the dotted line represents the inequality
`y<(5)/(3)x+1`.

Now any inequality which having "greater than" notation between y and x will never have a shared solution set with the linear inequality already in the graph.

Therefore inequality y > x + 2 which will have shaded area above the line will not share the common shaded area.

Option C. is the correct answer.