Question

Which of the following systems of inequalities represents the graph shown?

y
<
−
5
2
x
+
3
2
y
<
4
x
−
1
y
<
−
5
2
x
+
3
2
y
≥
4
x
−
1
y
≤
−
5
2
x
+
3
2
y
<
4
x
−
1
y
>
−
5
2
x
+
3
2
y
<
4
x
−
1

Answer 1

The system of inequlaities is:

y< -2.5x+1.5

y< 4x-1

None of the options match these inequalities, as written.

Explanation:

I reformatted the options to make them readable, so double check the results. It appears the 2 and 5 may be reversed, a decimal point missing, and the 32 should have been written 3/2 (for the 1.5). Please review the options based on the derivation provided.

y<−52x+32

y<4x−1

y<−52x+32

y≥4x−1

y≤−52x+32

y<4x−1

y>−52x+32

y<4x−1