x < 6y + r-x > 2q - 5.8yBased on the given inequalities, which of the following is correct about 'q' and 'r' if (0, 0) is the solution to the inequalities in the xy-plane?ABoth q and r are negative.Br is positive and q is negative.Cr is negative and q is positive.DBoth q and r are positive.
Question
x < 6y + r-x > 2q - 5.8yBased on the given inequalities, which of the following is correct about 'q' and 'r' if (0, 0) is the solution to the inequalities in the xy-plane?ABoth q and r are negative.Br is positive and q is negative.Cr is negative and q is positive.DBoth q and r are positive.
Solution
To solve this problem, we need to substitute (0,0) into the inequalities and solve for 'q' and 'r'.
The inequalities given are:
- x < 6y + r
- -x > 2q - 5.8y
Substituting (0,0) into these inequalities, we get:
- 0 < r
- 0 > 2q
Solving these inequalities, we find:
- r > 0
- q < 0
Therefore, the correct answer is B: r is positive and q is negative.
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