Question

Solve the following inequality
(5x /2)
+
(3x /8) > 39/8​

Answer 1

Please Check the attached image for the answer

Thank you.

Answer 2

As per the data given in the above question.

We have to find the inequality of given condition.

Step-by-step explanation:

Given ,

$\frac{5x}{2} + \frac{3x}{8} > \frac{39}{8}$

STEP-1:

Take LCM on left hand side

So , LCM of 2 and 8 is 16

$\frac{40x}{16} + \frac{6x}{16} > \frac{39}{8}$

$\frac{40x + 6x}{16} > \frac{39}{8}$

$\frac{46x}{16} > \frac{39}{8}$

$\frac{23x}{8} > \frac{39}{8}$

STEP-2

Multiply by 8 both side ,

$\frac{23x \times 8}{8} > \frac{39 \times 8}{8}$

$23x > 39$

STEP-3

Divide by 23 both side , we get

$\frac{23 \: x}{23} > \frac{39}{23}$

$x > \frac{39}{23}$

Hence ,

$x \: € \: ( \frac{39}{23}, \infty )$

Project code #SPJ3