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Triangle SPT is the solution of the linear inequalities

Mathematics
JAMB 2001

Triangle SPT is the solution of the linear inequalities

  • A. 2y - x - 2 ≤ 0, y + 2x + 2 ≥ 0, -2 ≤ x ≤ - 1
  • B. -2 ≤ x ≤ 2, y ≥ 0, y + 2x + 2 ≤ 0, x ≤ 0
  • C. 2y - x - 2 ≤ 0, y + 2x + 2 ≤ 0, y ≥ 0, x ≤ 0
  • D. 2y - x - 2 ≥ 0, y + 2x + 2 ≤ 0, x ≤ 0
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Correct Answer: Option C
Explanation

The two major lines have their lower portions involved. Since there are no broken lines here,\(\leq\) will hold for the two major lines

that is, 2y - x - 2 = 0 becomes 2y - x - 2 \(\leq\) 0 

y + 2x + 2 = 0 becomes y + 2x + 2 \(\leq\) 0

Triangle SPT is located at the positive side of the y-axis, so y \(\geq\) 0, and the negative side of the x-axis so, x \(\leq\)

Therefore, OPTION C is correct.

There is an explanation video available below.


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Explanation Video

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