Question

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

Answer 1

`\boxed {\tt x<4}`

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.

`(2x)/(2) <(8)/(2)`

`x <(8)/(2)`

`x<4`

The solution to the inequality is x<4

Answer 2

x < 4

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