Question

Solve the following inequality. Then place the correct answer in the box provided. 2x < 8 If someone could please explain it as well then I would be much obliged! Oh and by the way giving a few points as well!

Answer 1

When solving an inequality, the rules are similar to solving an equation, but instead there's an inequality sign. The only thing to be careful about when solving an inequality is that when you multiply/divide by a negative number, you have to flip the inequality sign, but you don't have to worry about that here!

So you have 2x < 8.

Divide both sides by 2 to isolate the variable, x:

`2x \ \textless \ 8\\ x \ \textless \ 4`

Your final inequality is x < 4.

Answer 2

The value of x is
`x< 4`.

Explanation:

Consider the provided inequality.

`2x < 8`

We need to solve the above inequality for x.

Divide both the sides by 2.

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

`x< 4`

Hence, the value of x is less than 4.

Therefore, the value of x is
`x< 4`.