Which ordered pair makes both inequalities true? y > -2x + 3 and y < x - 2
(0, 0) (0, -1) (1, 1) (3, 0)

Solution:

The mathematical expressions in which both sides are not equal are called inequalities.

In inequality, unlike in equations, we compare two values.

The equal to sign in between is replaced by less than, greater than or not equal to sign.

Let us consider the ordered pair (3, 0)

In the first inequality

y > -2x + 3

Substituting the values of x and y

0 > -2(3) + 3

0 > -6 + 3

0 > -3

In the second inequality

y < x - 2

Substituting the value of x and y

0 < 3 - 2

0 < 1

Therefore, the ordered pair which makes both inequalities true are (3, 0).

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Which ordered pair makes both inequalities true? y > -2x + 3 and y < x - 2

Summary:

The ordered pair which makes both inequalities true are (3, 0).