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In which quadrants do solutions for the inequality y≤x-4 exist?
OI, III, and IV
OI, II, and III
OI and IV
All four quadrants

In Which Quadrants Do Solutions For The Inequality Yx4 Exist OI III And IV OI II And III OI And IV All Four Quadrants class=

Sagot :

sqdancefan

Answer:

  (a)  I, III, and IV

Step-by-step explanation:

We want to identify areas on a graph where the solutions to an inequality might be found.

Boundary line

The boundary line for the inequality y ≤ 2/3x -4 has a positive slope and a negative y-intercept. That means it must pass through quadrants I, III, and IV.

Solution set

Quadrant II is above the line, but the y ≤ () inequality tells you the shading is below the line, where y-values are less than those on the line. There can be no solutions in quadrant II.

Solutions are found in quadrants I, III, and IV.

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For reference, the second attachments shows the quadrant numbering.

View image sqdancefan
View image sqdancefan
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