Solving Equations and Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that shows the relationship between two expressions that are not equal, using symbols like <, >, ≤, or ≥.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'. For example, 5 > 3 means 5 is greater than 3.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'. For example, 2 < 4 means 2 is less than 4.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 5 means x is greater than or equal to 5.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. For example, y ≤ 10 means y is less than or equal to 10.

Front

How do you solve the inequality 1 - 6t < 7?

Back

To solve 1 - 6t < 7, subtract 1 from both sides to get -6t < 6, then divide by -6 (remember to flip the inequality) to get t > -1.

Front

How do you solve the inequality k + 2 < -7?

Back

To solve k + 2 < -7, subtract 2 from both sides to get k < -9.

Front

How do you solve the inequality -17 < 8 + y?

Back

To solve -17 < 8 + y, subtract 8 from both sides to get y > -25.

Front

What does the number line graph representing x ≥ -5 look like?

Back

The number line graph for x ≥ -5 includes all numbers greater than or equal to -5, with a closed dot at -5 and a line extending to the right.

Front

How do you solve the inequality c - 7 > 8?

Back

To solve c - 7 > 8, add 7 to both sides to get c > 15.