Solving Inequalities Review

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 'greater than'.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '≥' mean?

Back

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

Front

What does the symbol '≤' mean?

Back

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

Front

How do you solve the inequality 3x - 2 > -1?

Back

Add 2 to both sides: 3x > 1; then divide by 3: x > 1/3.

Front

Is 0 a solution to the inequality 3x - 2 > -1?

Back

No, substituting 0 gives -2 > -1, which is false.

Front

Solve the inequality 16 - 4a > 8.

Back

Subtract 16 from both sides: -4a > -8; divide by -4 (reverse the inequality): a < 2.

Front

What is the solution to the inequality -8x < 48?

Back

Divide by -8 (reverse the inequality): x > -6.

Front

Match the inequality 11 ≤ a with its graph.

Back

The graph shows a closed circle at 11 and shading to the right.