Question

Given the system of inequalities:

4x – 5y < 1
One-halfy – x < 3




Which shows the given inequalities in slope-intercept form?

y < Four-fifthsx – One-fifth
y < 2x + 6
y > Four-fifthsx – One-fifths
y < 2x + 6
y > Negative four-fifthsx + One-fifth
y > 2x + 6

Answer 1

Rewrite each inequality for y.

4x − 5y < 1
−5y < 1 − 4x → y > (1 − 4x)/(−5) = (4/5)x − 1/5

(1/2)y − x < 3
(1/2)y < x + 3 → y < 2x + 6

So the system is y > (4/5)x − 1/5 and y < 2x + 6 (the second choice).