2 is less than or equal to 2/3 x is less than 4

A < B < C then B is between A and C

2 <= 2/3X <= 4

Break it down into two separate inequalities

2 <= 2/3x
and
2/3x <= 4

You can perform algebraic operations on the inequality, but you have to be careful. For example, if you have to multiply or divide by a negative number, the sense changes so always make sure you're multiplying or dividing by positive numbers. Occasionally, you'll have to multiply or divide by the unknown, "x". You have to make sure that x comes out positive. Otherwise, things change.

A > B
-A < -B

Once you solve your equation for x, you'll see what x is between.

I have to write a system of equations for each problem below must use the variables in the problems to write the systems

1.mr.franklin bought 8 tickets to a puppet show and spent $30. He bought a combination of child tickets for $3 each and adult tickets for $5 each. Write a system of equations that will determine the number of adult tickets,a,and the number of child tickets,c,he bought

mr.franklin bought 8 tickets to a puppet show and spent $30. He bought a combination of child tickets for $3 each and adult tickets for $5 each. Write a system of equations that will determine the number of adult tickets,a,and the number of child tickets,c,he bought

C = child tickets
A = adult tickets

A + C = 8
3 * C + 5 * A = 30