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 in an inequality?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '≥' mean in an inequality?

Back

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

Front

What does the symbol '≤' mean in an inequality?

Back

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

Front

How do you solve the inequality -2(x + 2) < 14?

Back

First, distribute -2: -2x - 4 < 14. Then, add 4 to both sides: -2x < 18. Finally, divide by -2 (remember to flip the inequality): x > -9.

Front

How do you solve the inequality -2k > 18?

Back

Divide by -2 (flip the inequality): k < -9.

Front

Write the inequality for the phrase: 'twice a number x plus 8 is greater than 12'.

Back

The inequality is 2x + 8 > 12.

Front

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

Back

Subtract 6 from both sides: 2h > 24. Then, divide by 2: h > 12.

Front

How do you solve the inequality -4x + 14 ≤ 54?

Back

Subtract 14 from both sides: -4x ≤ 40. Then, divide by -4 (flip the inequality): x ≥ -10.