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The Linear relationship between two variables in an inequality :
- a)ax + by ≤ c
- b)ax + bxy ≤ c
- c)axy + by ≤ c
- d)none
Correct answer is option 'A'. Can you explain this answer?
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The Linear relationship between two variables in an inequality :a)ax +...
The linear relationship between two variables in an inequality of the form ax + by < c="" or="" ax="" +="" by="" /> c is a straight line on a coordinate plane.
For example, the inequality 2x + 3y < 6="" represents="" a="" linear="" relationship="" between="" the="" variables="" x="" and="" y.="" to="" graph="" this="" inequality,="" we="" can="" first="" graph="" the="" line="" 2x="" +="" 3y="6" (which="" is="" the="" boundary="" line="" of="" the="" inequality)="" by="" finding="" its="" intercepts="" or="" using="" slope-intercept="" form.="" />
Then, we can determine which side of the line satisfies the inequality by testing a point not on the line (such as (0,0)):
- If 2(0) + 3(0) < 6,="" the="" point="" (0,0)="" is="" a="" valid="" solution="" and="" the="" shaded="" region="" is="" below="" the="" line.="" />
- If 2(0) + 3(0) > 6, the point (0,0) is not a valid solution and the shaded region is above the line.
The resulting shaded region represents all the solutions to the inequality and may include a portion or all of the coordinate plane.
For example, the inequality 2x + 3y < 6="" represents="" a="" linear="" relationship="" between="" the="" variables="" x="" and="" y.="" to="" graph="" this="" inequality,="" we="" can="" first="" graph="" the="" line="" 2x="" +="" 3y="6" (which="" is="" the="" boundary="" line="" of="" the="" inequality)="" by="" finding="" its="" intercepts="" or="" using="" slope-intercept="" form.="" />
Then, we can determine which side of the line satisfies the inequality by testing a point not on the line (such as (0,0)):
- If 2(0) + 3(0) < 6,="" the="" point="" (0,0)="" is="" a="" valid="" solution="" and="" the="" shaded="" region="" is="" below="" the="" line.="" />
- If 2(0) + 3(0) > 6, the point (0,0) is not a valid solution and the shaded region is above the line.
The resulting shaded region represents all the solutions to the inequality and may include a portion or all of the coordinate plane.
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The Linear relationship between two variables in an inequality :a)ax + by ≤ cb)ax + bxy ≤ cc)axy + by ≤ cd)noneCorrect answer is option 'A'. Can you explain this answer?
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The Linear relationship between two variables in an inequality :a)ax + by ≤ cb)ax + bxy ≤ cc)axy + by ≤ cd)noneCorrect answer is option 'A'. Can you explain this answer? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The Linear relationship between two variables in an inequality :a)ax + by ≤ cb)ax + bxy ≤ cc)axy + by ≤ cd)noneCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The Linear relationship between two variables in an inequality :a)ax + by ≤ cb)ax + bxy ≤ cc)axy + by ≤ cd)noneCorrect answer is option 'A'. Can you explain this answer?.
The Linear relationship between two variables in an inequality :a)ax + by ≤ cb)ax + bxy ≤ cc)axy + by ≤ cd)noneCorrect answer is option 'A'. Can you explain this answer? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The Linear relationship between two variables in an inequality :a)ax + by ≤ cb)ax + bxy ≤ cc)axy + by ≤ cd)noneCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The Linear relationship between two variables in an inequality :a)ax + by ≤ cb)ax + bxy ≤ cc)axy + by ≤ cd)noneCorrect answer is option 'A'. Can you explain this answer?.
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