How do you solve #a+ \frac { 7} { 9} > \frac { 56} { 72}#?

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Answer 1 · 2017-05-27T20:30:56

See a solution process below:

Subtract #color(red)(7/9)# from each side of the inequality to solve for #a# while keeping the inequality balanced:

#a + 7/9 - color(red)(7/9) > 56/72 - color(red)(7/9)#

#a + 0 > 56/72 - color(red)(7/9)#

To subtract the fractions on the right side of the inequality we need to have each fraction over a common denominator:

#a + 0 > 56/72 - (8 xx color(red)(7))/(8 xx color(red)(9))#

#a > 56/72 - 56/72#

#a > 0#