Question
y≤3x+1
x−y>1
Which of the following ordered pairs (x,y) satisfies the system of inequalities above?
x−y>1
Which of the following ordered pairs (x,y) satisfies the system of inequalities above?
Answer: Option D
:
D
Substitute each of the points in the inequalities to check if the inequality is satisfied.
(-2,-1) does not satisfy either inequality
(-1, 3) does not satisfy either inequality
(1,5) does not satisfy either inequality
(2,-1) satisfies both equalities
Alternatively, plotting the graph of the inequalities,
It can be seen that, only (2,-1) belongs to the solution set. Hence D is the correct choice.
Was this answer helpful ?
:
D
Substitute each of the points in the inequalities to check if the inequality is satisfied.
(-2,-1) does not satisfy either inequality
(-1, 3) does not satisfy either inequality
(1,5) does not satisfy either inequality
(2,-1) satisfies both equalities
Alternatively, plotting the graph of the inequalities,
It can be seen that, only (2,-1) belongs to the solution set. Hence D is the correct choice.
Was this answer helpful ?
More Questions on This Topic :
Latest Videos
Latest Test Papers
Submit Solution