Question

Solve the inequality, then select the graph that matches the solution.-5n < 20CheckMultiple choice

Answer 1

You have to solve the given inequality:

`-5n<20`

To find the solution to the inequality, you have to solve it for "n".

The variable "n" is multiplied by "-5" to find the value of n you have to cancel the multiplication by applying the opposite operation to both sides of the inequality. This means that you have to divide both sides by -5.

Now, when you multiply or divide an inequality by a negative value, the direction of the inequality gets inverted, this means that the symbol "<" will change to ">" after the division:

`\begin{gathered} -5n<20 \\ (-5n)/(-5)\lt(20)/(-5) \\ n>-4 \end{gathered}`

So, the solution to this inequality are all values of n greater than -4.

Next is to draw the solution in the number line, since the inequality doesn't include the equal sign, you have to draw a blank dot at the endpoint of the solution:

The correct options are the second option and the fourth option.