18) Solve the inequality: −

Question

2
5
x − 9 <
1
2

Answer 1

To solve the inequality, we need to isolate the variable on one side of the inequality sign.

Starting with the given inequality:
-2/5x - 9 < 1/2

First, let's add 9 to both sides to get rid of the negative 9:
-2/5x < 1/2 + 9

Simplifying the right side:
-2/5x < 19/2

To get rid of the fraction, we can multiply both sides of the inequality by the reciprocal of -2/5, which is -5/2:
(-5/2)(-2/5)x > (19/2)(-5/2)

Simplifying both sides:
x > -95/4

So, the solution to the inequality is x > -95/4.