Solving Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Tags

CCSS.6.EE.B.8

Front

What symbols are used to represent inequalities?

Back

The symbols used to represent inequalities are: < (less than), > (greater than), ≤ (less than or equal to), and ≥ (greater than or equal to).

Tags

CCSS.6.EE.B.8

Front

How do you solve the inequality \( \frac{b}{2} < 13 \)?

Back

To solve \( \frac{b}{2} < 13 \), multiply both sides by 2 to get \( b < 26 \).

Tags

CCSS.6.EE.B.8

Front

What does the inequality \( x \ge 3 \) mean?

Back

The inequality \( x \ge 3 \) means that x is greater than or equal to 3.

Tags

CCSS.6.EE.B.8

Front

How do you graph the inequality \( x \ge 3 \)?

Back

To graph \( x \ge 3 \), draw a number line, place a closed dot on 3, and shade to the right to indicate all numbers greater than 3.

Tags

CCSS.6.EE.B.8

Front

What is the solution to the inequality \( 3(x - 3) \le 2(x + 2) \)?

Back

The solution to the inequality \( 3(x - 3) \le 2(x + 2) \) is \( x \le 13 \).

Front

How do you solve the inequality \( 10 \ge x - 3 \)?

Back

To solve \( 10 \ge x - 3 \), add 3 to both sides to get \( 13 \ge x \) or \( x \le 13 \).

Tags

CCSS.7.EE.B.4B

Front

What does a closed dot on a number line indicate when graphing inequalities?

Back

A closed dot indicates that the number is included in the solution set, used for inequalities with symbols ≤ or ≥.

Tags

CCSS.6.EE.B.8

Front

What does an open dot on a number line indicate when graphing inequalities?

Back

An open dot indicates that the number is not included in the solution set, used for inequalities with symbols < or >.

Tags

CCSS.6.EE.B.8

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (<, >) do not include the boundary points, while non-strict inequalities (≤, ≥) do include the boundary points.

Tags

CCSS.6.EE.B.8