Question

Solve for x. (1 point) −3x + 2b > 8 x < the quantity negative 2 times b plus 8 all over negative 3 x > the quantity negative 2 times b plus 8 all over negative 3 x < the quantity 2 times b minus 8 all over negative 3 x > the quantity negative 2 times b minus 8 all over 3

Answer 1

Given:

`-3x+2b>8`

To find:

The value of x.

Solution:

We have,

`-3x+2b>8`

To find the value of x, we need to isolate x on one side.

Subtract 2b from both sides.

`-3x>8-2b`

Divide both sides by -3. On multiplying or dividing an inequality by a negative number, we need to change the sign of inequality.

`(-3x)/(-3)<(8-2b)/(-3)`

`x<(-2b+8)/(-3)`

The required inequality for x is
`x<(-2b+8)/(-3)`.

Therefore, the correct option is A.