Question

What is the solution of X-2/x-3<4

Answer 1

Here’s your answer :))

Answer 2

Answer {x:x<10/3}

step by step explanation

first you need to change the less than sign to equal to sign

thus

$\frac{x - 2}{x - 3} = 4$

cross multiplying

$x - 2 = 4(x - 3)$

$x - 2 = 4x - 12$

grouping of like terms

$4x - x = - 2 + 12$

$3x = 10$

dividing through by 3

$\frac{3x}{3} = \frac{10}{3}$

$x = \frac{10}{3}$

now the truth set is

{x:x<10/3}

the < did not change because we didn't divide by a negative number when finding for the x.