Question

sort these cards into three groups. (one group will have five cards.)
x > -3 and x < 2
x < -3 or x > 2
a number that is less than -3 or greater than 2.
a number that is greater than -3 and less than 2.
a number that is greater than -3.
0 is not a solution. 5 is a solution.
0 is a solution. 5 is a solution.
0 is a solution. 5 is not a solution.
-3 < x < 2
x > -3

Explanation:

Step1: Identify inequalities for -3 < x < 2

The inequalities and descriptions for numbers greater than - 3 and less than 2 are: $x > - 3$ and $x < 2$, "A number that is greater than -3 AND less than 2.", $-3 < x < 2$, the number - line with open - circles at - 3 and 2 and the segment between them shaded, and "0 is a solution. 5 is not a solution."

Step2: Identify inequalities for x < - 3 or x > 2

The inequalities and descriptions for numbers less than - 3 or greater than 2 are: $x < - 3$ or $x > 2$, "A number that is less than -3 OR greater than 2.", the number - line with open - circles at - 3 and 2 and the segments outside the interval $(-3,2)$ shaded, "0 is not a solution. 5 is a solution."

Step3: Identify inequalities for x > - 3

The inequality for numbers greater than - 3 is: $x > - 3$ and "A number that is greater than -3."

Group 1 (5 cards): $x > - 3$ and $x < 2$, "A number that is greater than -3 AND less than 2.", $-3 < x < 2$, the number - line with open - circles at - 3 and 2 and the segment between them shaded, "0 is a solution. 5 is not a solution."
Group 2: $x < - 3$ or $x > 2$, "A number that is less than -3 OR greater than 2.", the number - line with open - circles at - 3 and 2 and the segments outside the interval $(-3,2)$ shaded, "0 is not a solution. 5 is a solution."
Group 3: $x > - 3$, "A number that is greater than -3."

Answer:

Group 1: $x > - 3$ and $x < 2$, "A number that is greater than -3 AND less than 2.", $-3 < x < 2$, the number - line with open - circles at - 3 and 2 and the segment between them shaded, "0 is a solution. 5 is not a solution."
Group 2: $x < - 3$ or $x > 2$, "A number that is less than -3 OR greater than 2.", the number - line with open - circles at - 3 and 2 and the segments outside the interval $(-3,2)$ shaded, "0 is not a solution. 5 is a solution."
Group 3: $x > - 3$, "A number that is greater than -3."