Solve and translate 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 in inequalities?

Back

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

Front

What does the symbol '<' mean in inequalities?

Back

The symbol '<' means 'less than'. For example, x < 3 means x is less than 3.

Front

What does the symbol '≥' mean in inequalities?

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 in inequalities?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ -5 means x is less than or equal to -5.

Front

How do you solve the inequality 6 - 2h > 30?

Back

Subtract 6 from both sides: -2h > 24. Then divide by -2 (remember to flip the inequality): h < -12.

Front

What is the solution to the inequality 30 + n ≥ 50?

Back

Subtract 30 from both sides: n ≥ 20.

Front

How do you represent the solution of an inequality on a number line?

Back

Use an open circle for < or > and a closed circle for ≤ or ≥. Shade the direction of the solution.

Front

What is the solution to the equation 3x + 7 = -8?

Back

Subtract 7 from both sides: 3x = -15. Then divide by 3: x = -5.

Front

What does the graph of x < 3 look like?

Back

A number line with an open circle at 3 and shading to the left.