Question

Figuring out if the plugins are true or false and if x is a solution

Answer 1

Given:

Function is:

`2x-5\ge3`

Find-:

Check the value of "x" for the function is valid.

Explanation-:

The function is:

`2x-5\ge3`

Solve the function for "x."

`\begin{gathered} 2x-5\ge3 \\ \\ 2x\ge3+5 \\ \\ 2x\ge8 \\ \\ x\ge(8)/(2) \\ \\ x\ge4 \end{gathered}`

When the value of "x" is greater and equal to 4, the function is True.

Check for given "x" is:

`\begin{gathered} x=-2\rightarrow\text{ False} \\ \\ x=0\rightarrow\text{ False} \\ \\ x=2\rightarrow\text{ False} \end{gathered}`

The above value of "x" is less than four; the function is False.

The value of "x" at -2, 0 and 2 are function is False.

`\begin{gathered} x=4\rightarrow\text{ True} \\ \\ x=6\rightarrow\text{ True} \end{gathered}`

The value of "x" at 4 and 6 are function is True.