Question

Which inequality is true for x = 2? A) 6x + 20 < 29 B) 7x − 10 < 11 C) 14x + 10 < 37 D) 15x − 18 < 12

Answer 1

For this case we must evaluate
`x = 2` in each of the inequalities and verify if the inequality is met or not:

Option A:

`6x + 20 <29\\6 (2) +20 <29\\12 + 20 <29\\32 <29`

It is not fulfilled!

Option B:

`7x-10 <11\\7 (2) -10 <11\\14-10 <11\\4 <11`

Is fulfilled!

Option C:

`14x + 10 <37\\14 (2) +10 <37\\28 + 10 <37\\38 <37`

It is not fulfilled!

Option D:

`15x-18 <12\\15 (2) -18 <12\\30-18 <12\\12 <12`

It is not fulfilled!

So, option B is correct, inequality is met

ANswer:

Option B