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3 years ago

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

Mathematics

1 answer:

eduard3 years ago

3 0

<u>ANSWER:</u>

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

<u>SOLUTION:</u>

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

7x < 7x – 14

7x – (7x – 14) < 0

7x – 7x + 14 < 0

0 + 14 < 0

14 < 0

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

Hence, the solution set is $\varnothing$

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