Ask your own question, for FREE!
Mathematics 11 Online
OpenStudy (anonymous):

(x/3)+(x/7)<2

OpenStudy (anonymous):

jimthompson5910 (jim_thompson5910):

it might help to multiply both sides by the LCD 21 to get... \[\Large \frac{x}{3} + \frac{x}{7} < 2\] \[\Large 21*\left(\frac{x}{3} + \frac{x}{7}\right) < 21*2\] \[\Large 21*\left(\frac{x}{3}\right) + 21*\left(\frac{x}{7}\right) < 21*2\] \[\Large 7x + 3x < 42\] now those pesky fractions are gone

Directrix (directrix):

@cutegirl Look at the instructions for the problem. Are you to answer to the nearest integer, the nearest tenth, or some other way?

OpenStudy (anonymous):

Directrix (directrix):

@cutegirl Solve the inequality posted by @jim_thompson5910

OpenStudy (anonymous):

i was thinking d?

jimthompson5910 (jim_thompson5910):

why D?

OpenStudy (anonymous):

cause 7 times 3=21?

Directrix (directrix):

Look at the direction of the inequality of the problem.

OpenStudy (anonymous):

10x<42

jimthompson5910 (jim_thompson5910):

10x < 42 is correct so far

Directrix (directrix):

Solve for x: divide both sides of the inequality by 10.

OpenStudy (anonymous):

x=<4.2

OpenStudy (anonymous):

so its c?

Directrix (directrix):

I don't see 4.2 as an option but I do see its form as an improper fraction. Look again at the options for a fraction that is the same as 4.2 and is a "less than" situation.

OpenStudy (anonymous):

those are my choice so idk now

jimthompson5910 (jim_thompson5910):

you divided both sides by 10 right? You should have \[\Large x < \frac{42}{10}\] reduce that to get your answer

OpenStudy (anonymous):

thanks guys x<21/5

jimthompson5910 (jim_thompson5910):

nailed it

Directrix (directrix):

Great @cutegirl

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!