In the xy-plane, if (0,0) is a solution to the system of inequalities y x + b, which of the following relationships between a and b must be true?

If (0,0) is a solution to the system of inequalities, then substituting x=0 and y=0 into both inequalities must make them true. For the first inequality: 0 0 0 + b => 0 > b. This means b must be a negative number. If a is positive and b is negative, then a must be greater than b (e.g., a=2, b=-3, then 2 > -3). Therefore, a > b must be true.

What is the correct answer for SAT Maths?

The correct answer is A. If (0,0) is a solution to the system of inequalities, then substituting x=0 and y=0 into both inequalities must make them true. For the first inequality: 0 0 0 + b => 0 > b. This means b must be a negative number. If a is positive and b is negative, then a must be greater than b (e.g., a=2, b=-3, then 2 > -3).

In the xy-plane, if (0,0) is a solution to the system of inequalities y x + b, which of the following relationships between a and b must be true?

The correct answer is A. If (0,0) is a solution to the system of inequalities, then substituting x=0 and y=0 into both inequalities must make them true. For the first inequality: 0 0 0 + b => 0 > b. This means b must be a negative number. If a is positive and b is negative, then a must be greater than b (e.g., a=2, b=-3, then 2 > -3).

What are the options for this SAT Maths question?

A. a > b · B. b > a · C. |a| > |b| · D. a = -b

SAT Maths 2026 PYQ · With Answer · Free

SAT Maths•MCQs

+4-1

In the xy-plane, if (0,0) is a solution to the system of inequalities y < -x + a and y > x + b, which of the following relationships between a and b must be true?

Choose an option