TELL WHEATHER THE GIVEN ORDERED PAIRS SATISFY THE INEQUALITY

Is each ordered pair a solution of the inequality ?

Problem 1 :

y – x > 5 ; (3, -2), (4, 1)

Solution :

y – x > 5

(3, -2)

x = 3, y = -2

-2 – 3 > 5

-5 > 5

It is not ordered pair a solution of the inequality.

y – x > 5

(4, 1)

x = 4, y = 1

4 – 1 > 5

3 > 5

It is not ordered pair a solution of the inequality.

Problem 2 :

x + y < -3 ; (-1, -5), (0, 0)

Solution :

x + y < -3

(-1, -5)

x = -1, y = -5

-1 – 5 < -3

-6 < -3

It is ordered pair a solution of the inequality.

x + y < -3

(0, 0)

x = 0, y = 0

0 – 0 < -3

0 < -3

It is not ordered pair a solution of the inequality.

Problem 3 :

Identify,

i)  3 ordered pairs that are solutions to the inequalities

ii)  Write the inequality that represents the graph given.

Solution :

Three ordered from the shaded region are (0, 0) (0, 1) and (1, 1).

Considering the given line, it is dashed line. So, we have use < or >. Observing all the values from the shaded region, they are greater than -4.

The required inequality is 

y > 4

Problem 4 :

Identify,

i)  3 ordered pairs that are solutions to the inequalities

ii)  Write the inequality that represents the graph given.

Solution :

Three ordered from the shaded region are 

(0, 4) (2, -2) and (1, 1)

Considering the given line, it is dashed line. So, we have use ≤ or ≥. 

The required inequality is 3x + y ≥ 4