Question

Which linear inequality is represented by the graph ?

Y > 2/3x - 1/5
Y > or = to 3/2x + 1/5
Y < or = to 2/3x + 1/5
Y < 3/2x - 1/5

Answer 1

Answer: y ≤ (2/3)*x + 1/5

Explanation:

In the graph, we can see a solid line (this means that the values of the line are part of the solution, then the symbol used will be ≤ or ≥)

Also, we can see that the shaded part (the shaded part is the solution of the inequality) is below the line. This means that y is equal to the values in the line, or smaller than the values in the line. Then we will have something like:

y ≤ a*x +b

The only option that uses this symbol is:

Y < or = to 2/3x + 1/5 (y ≤ (2/3)*x + 1/5)

Then this is the correct option.