Which option correctly describes the values that make the inequality 2m<14 true when written in set notation?

Option #1: {m:m<7}

Option #2: {7:7<m}

Option #3: {m<7:m}

Option #4: {m<7}

1 answer

The correct option is Option #1: {m:m<7}.
This option correctly describes the values that make the inequality 2m<14 true. The inequality states that 2m is less than 14, so to find the range of values for m, we solve the inequality as follows:

2m < 14
m < 7

This means that the values of m that make the inequality true are less than 7. Therefore, the correct set notation for these values is {m:m<7}.