CA Foundation · Quantitative Aptitude · Linear Inequalities
The graph of the inequality 2x + 5y ≤ 20 is drawn. Which statement about the boundary line and the solution region is correct?
The boundary line is solid and the region contains the origin. The inequality uses ≤, so points on the line are included, requiring a solid line. Putting (0,0) gives 0 ≤ 20, which is true, so the shaded half-plane includes the origin.
- AThe line is dotted and the region contains the origin
- BThe line is solid and the region contains the originCorrect
- CThe line is solid and the region does not contain the origin
- DThe line is dotted and the region does not contain the origin
Explanation
The sign ≤ includes equality, so points on the line 2x+5y=20 are solutions and the line is solid. Test the origin: 0 ≤ 20 is true, so the origin lies in the region. A dotted line would be used only for strict inequalities.
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