contestada

Solve.
−1/2x + 1/3 > 3/5
Drag and drop a number or symbol into each box to show the solution.

A. x > -8/15

B. x < -8/15

C. x > 8/15

D. x < 8/15

E. x > -4/15

F. x < -4/15

G. x > 4/15

H. x < 4/15

Respuesta :

The answer to this is B
lublana

We need to solve given inequality

[tex] -\frac{1}{2}x+\frac{1}{3}>\frac{3}{5} [/tex]

We can start by multiplying both side by common denominator so that fractions get removed.

common denominator of given denominators 2, 3 and 5 will be 30. So let's multiply both side by 30

[tex] -\frac{1}{2}x*30+\frac{1}{3}*30>\frac{3}{5}*30 [/tex]

[tex] -\frac{30}{2}x+\frac{30}{3}>\frac{90}{5} [/tex]

[tex] -15x+10>18 [/tex]

[tex] -15x>18-10 [/tex]

[tex] -15x>8 [/tex]

[tex] x<- \frac{8}{15} [/tex]

Hence final answer is [tex] x<- \frac{8}{15} [/tex].

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