MATH SOLVE

4 months ago

Q:
# Solve the inequality. 1/3+x+2/9>5/6

Accepted Solution

A:

Answer:5β18 < xStep-by-step explanation:Start by adding like-terms [β
and 2β9] with 9 being the Least Common Denominator [LCD]. Since 2β9 already has a 9 in the denominator, it does not get touched, so in order to make β
a denominator of 9, we simply multiply both terms by 3, to get 3β9. So, adding that to 2β9 gives you 5β9, also giving you 5β9 + x > β
. Now, we have to find the LCD again because we have two unlike fractions. Now, our Least Common Denominator is 18, so multiply both terms in β
by 3 [15β18] and multiply both terms in 5β9 by 2 [10β18]. Now you have two like fractions to work with, and you can clearly see that your answer is x > 5β18. Although the answer is written in reverse, it is still the same concept.I am joyous to assist you anytime.