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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
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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
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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.
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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