Answer: x>15
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality:
(56/10)+(22/10)*x-((656/10)-(18/10)*x)>0
Simplify 9/5
56 22 656 9
(——+(——•x))-(———-(—•x)) > 0
10 10 10 5
Simplify 328/5
56 22 328 9x
(——+(——•x))-(———-——) > 0
10 10 5 5
Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
328 - (9x) 328 - 9x
—————————— = ————————
5 5
56/10+22/10.x/5)) >0 (328 - 9x)
Simplify 11/5
56/10+11/5.x/5))->0 (328-9x
Simplify 28/5
28 11x (328 - 9x)
(—— + ———) - —————————— > 0
5 5 5
Adding fractions which have a common denominator
Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
28 + 11x 11x + 28
———————— = ————————
5 5
:
(11x + 28) (328 - 9x)
—————————— - —————————— > 0
5 5
Adding fractions which have a common denominator
Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(11x+28) - ((328-9x)) 20x - 300
————————————————————— = —————————
5 5
Pull out like factors :
20x - 300 = 20 • (x - 15)
20 • (x - 15)
————————————— > 0
Multiply both sides by 5
Divide both sides by 20
Solve Basic Inequality :
Add 15 to both sides
x > 15