Question

What is the solution to the inequality shown below?
2x - 9 -4
D .x > -5

Answer 1

Answer:

x < 4

Step-by-step explanation:

2x - 9 < - 1

Add 9 to each side

2x - 9+9 < - 1+9

2x < 8

Divide each side by 2

2x /2 < 8/2

x < 4

Answer 2

Answer:

$\boxed {\tt x<4}$

Step-by-step explanation:

The inequality given is:

$2x-9 < -1$

In order to solve the inequality, we must isolate the variable, x.

9 is being subtracted from 2x. The inverse of subtraction is addition. Add 9 to both sides of the equation.

$2x-9+9 < -1+9$

$2x< -1+9$

$2x< 8$

x is being multiplied by 2. The inverse of multiplication is division. Divide both sides of the equation by 2.

$\frac{2x}{2} <\frac{8}{2}$

$x <\frac{8}{2}$

$x<4$

The solution to the inequality is x<4