Question

Which of the following values are solutions to the inequality 4 > 2 - 4x ?I. - 4II. - 1III. – 2NoneI onlyII onlyIII onlyI and III and IIIII and IIII. II and III

Answer 1

None

Step-by-step explanation:

Given the inequality

`4>2-4x`

First, we subtract 2 from both sides

`\begin{gathered} 4-2>2-2-4x \\ 2>-4x \end{gathered}`

Next, we divide both sides by -4.

`\begin{gathered} (2)/(-4)>(-4x)/(-4) \\ -(1)/(2)-(1)/(2) \end{gathered}`

Note: When you divide by a negative number in an inequality, the sign reverses.

Therefore, none of the options are solutions to the inequality.