Your friend was working on graphing inequalities and said "when the variable is divided by a number in the original inequality, the answer is always greater than when it is multiplied by a number." Use the following inequalities to determine if your friend is correct.

\frac{x}{2}

Question

Your friend was working on graphing inequalities and said "when the variable is divided by a number in the original inequality, the answer is always greater than when it is multiplied by a number."  Use the following inequalities to determine if your friend is correct.
 

\frac{x}{2}< 4

2x< 24

 

Be sure to answer all questions in complete sentences.

What is the solution to the first inequality?

What is the solution to the second inequality?

Is your friend correct?

Why or why not?

How could you change your friend's statement to be more accurate?