Make Connections The inequalities 3x < 1 and 6x < 2 are equivalent inequalities. Write another inequality that is equivalent to 3x < 1 and 6x < 2.

Blank x < 9

1 answer

To find an equivalent inequality to both 3x < 1 and 6x < 2, we can combine the two inequalities by finding their intersection. Since both inequalities have a strict inequality (<), their intersection will result in another strict inequality (<).

Multiplying the first inequality 3x < 1 by 2, we get 6x < 2. Therefore, we can conclude that 3x < 1 and 6x < 2 are equivalent to 6x < 2.

Another inequality that is equivalent to both 3x < 1 and 6x < 2 is 6x < 2.

Hence, blank x < 9.