Solving Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

How do you solve the inequality -56 ≤ -8r?

Back

To solve -56 ≤ -8r, divide both sides by -8 (remember to flip the inequality sign): r ≤ 7.

Front

What is the solution to the equation 3(n - 7) = -30?

Back

The solution is n = -3.

Front

How do you isolate the variable in the equation a - 5 = -12?

Back

Add 5 to both sides to get a = -7.

Front

What is the solution to the inequality 6x + 14 ≥ 20?

Back

The solution is x ≥ 1.

Front

How do you solve the inequality w - 8 ≥ 5.6?

Back

Add 8 to both sides to get w ≥ 13.6.

Front

What is the first step in solving an inequality?

Back

The first step is to isolate the variable on one side of the inequality.

Front

What happens to the inequality sign when you multiply or divide by a negative number?

Back

The inequality sign flips when you multiply or divide both sides by a negative number.