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2 years ago

Which property of addiction does 8+0=8 illustrate

Mathematics

1 answer:

Rus_ich [418]2 years ago

4 0

Answer:

The statement represents the IDENTITY PROPERTY OF ADDITION.

Step-by-step explanation:

Here, the given expression is 8 + 0 = 8

IDENTITY ELEMENT : Identity element is a special type of element in a given set of system, such that any number remains UNALTERED if operated with the identity element.

⇒ a + X = X for, a ≡ IDENTITY ELEMENT

Now, 8 + 0 = 8

Comparing it with the above equation , we get

0 ≡ IDENTITY ELEMENT in the given Binary operation of Addition.

Hence, the statement represent the IDENTITY PROPERTY OF ADDITION.

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Give the solution set for the inequality 7x < 7(x - 2) in interval notation.

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ANSWER:

The solution set for the inequality 7x < 7(x - 2) is null set $\varnothing$

SOLUTION:

Given, inequality expression is 7x < 7 × (x – 2)

We have to give the solution set for above inequality expression in the interval notation form.

Now, let us solve the inequality expression for x.

Then, 7x < 7 × (x – 2)

7x < 7 × x – 2 × 7

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Which is false, so there exists no solution for x which can satisfy the given equation.

So, the interval solution for given inequality will be null set

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