Question

Is the ordered pair (0, 4) a solution of the inequality y≤x−3? Explain.

Answer 1

The given ordered pair is not the solution for y ≤ x − 3.

What is linear inequality?

Linear inequality refers to the relation between a linear algebraic expression to some known value that contains inequality sign.

Unlike a linear equation it can have a range of values inside an interval.

The inequality is given as y ≤ x - 3.

The x coordinate for the ordered pair (0,4) is 0.

And, the y coordinate is 4.

Substitute the value of x and y in the given inequality as follows,

y ≤ x - 3

=> 4 ≤ 0 - 3

=> 4 ≤ -3

Which is not true.

Hence, the ordered pair (0, 4) is not solution of the inequality y ≤x − 3.

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Answer 2

The ordered pair (0,4) does not satisfy the inequality thus, it will be not the solution to the given inequality.

What is inequality?

A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.

As per the given inequality,

y ≤ x - 3

Put x = 0

y ≤ 0 - 3

y ≤ -3

Since 4 ≤ -3 is the wrong statement thus it will not satisfy the inequality.

Hence "The ordered pair (0,4) does not satisfy the inequality thus, it will be not the solution to the given inequality".

For more about inequality,

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