3 years ago

I can't figure out this inequality 5+ 5(x + 4) < 20. Any tips on how I can solve?

1 answer:

8 0

Remember you can do anything to an equation or inequality as long as ou do it to both sides
also, when multiplying by a negative number in an inequality, don't forget to flip the sign

5+5(x+4)<20
minus 5 from both sides
5(x+4)<15
divide both sides by 5
x+4<3
minus 4 from both sides
x<-1

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Given:

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$A=23\times 3\times 5$

$B=22\times 3\times 52$

To find:

The highest common factor (HCF) of A and B

Solution:

We have,

$A=23\times 3\times 5$ ...(i)

$B=22\times 3\times 52$

All the factors of A are prime but the factors of B are not prime. So, it can be written as

$B=2\times 11\times 3\times 13\times 2\times 2$ ...(ii)

From (i) and (ii), it is clear that 3 is the only common factor of A and B. So,

$HCF(A,B) = 3$

Therefore, the highest common factor (HCF) of A and B is 3.

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