In which quadrants do solutions for the inequality y is greater than one fifth times x plus 3 exist? I and II I, II, and III I,

Question

4 years ago

8

III, and IV All four quadrants

1 answer:

kykrilka [37] · Answer 1 · 2022-01-19T15:47:22+03:00

Answer:

The solutions of the inequality exist in quadrants I,II and III

Step-by-step explanation:

we have

$y > \frac{1}{5}x+3$

The solution of the inequality is the shaded area above the dashed line

$y=\frac{1}{5}x+3$

The slope of the dashed line is positive (m=1/5)

The y-intercept of the dashed line is (0,3)

The x-intercept of the dashed line is (-15,0)

using a graphing tool

see the attached figure

The solutions of the inequality exist in quadrants I,II and III