Solving Inequalities Review

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '<' represent in inequalities?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '>' represent in inequalities?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '≤' represent in inequalities?

Back

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

Front

What does the symbol '≥' represent in inequalities?

Back

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

Front

How do you solve the inequality -8x < 48?

Back

To solve -8x < 48, divide both sides by -8, remembering to reverse the inequality sign: x > -6.

Front

How do you isolate the variable in the inequality -5 ≥ j + 9?

Back

Subtract 9 from both sides: -5 - 9 ≥ j, which simplifies to -14 ≥ j.

Front

What is the solution to the inequality 14 + 9x > 6x + 4?

Back

To solve, first simplify: 9x - 6x > 4 - 14, which gives 3x > -10. Dividing by 3 gives x > -3 1/3.

Front

What is the solution to the inequality a ≤ 25?

Back

The solution indicates that 'a' can take any value less than or equal to 25.

Front

What is the solution to the inequality x ≥ 1?

Back

The solution indicates that 'x' can take any value greater than or equal to 1.