Question

Which graph is that of the inequality shown below ?

Answer 1

C

Explanation:

y <= 2x - 2

the delimiter line is therefore

y = 2x - 2

that is true for all 4 answer options.

but the y-values must be smaller than the values in the line. so, the area right-down from the line is correct.

that leaves us with B and C.

dotted line or solid line - the difference is if the line values are included in the solution or excluded.

if the line is dotted, then the line is not included.

if the line is solid, then the line is included.

because the inequality uses "<=", the line is included.

so, the answer with the solid line is correct : C.