Question

What is the value of x in the inequality 2−5x/3; +4<−x?

a) x< 5/4
b) x>− 5/4
c) x<− 5/4
d) x< 4/5

Answer 1

To find the value of x in the inequality 2−5x/3 + 4 < -x, we need to solve for x. The value of x is greater than 9/4, which is represented by option b) x > -5/4.

Step-by-step explanation:

To find the value of x in the inequality 2−5x/3 + 4 < -x, we need to solve for x. First, let's simplify the inequality:

2−5x/3 + 4 < -x

Multiply both sides of the inequality by 3 to get rid of the fraction:

6 - 5x + 12 < -3x

Combine like terms:

-5x - 3x < -12 - 6

-8x < -18

Divide both sides of the inequality by -8, remembering to reverse the inequality sign because we are dividing by a negative number:

x > -18/-8

x > 9/4

So the value of x is greater than 9/4, which is represented by option b) x > -5/4.