Algebraic Inequalities

Front

What is an algebraic inequality?

Back

An algebraic inequality is a mathematical statement that compares two expressions using inequality symbols (>, <, ≥, ≤) to show that one expression is greater than, less than, or equal to another.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left is either greater than or equal to the value on the right.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left is either less than or equal to the value on the right.

Front

How do you solve the inequality s + 9 ≥ -25?

Back

Subtract 9 from both sides: s ≥ -25 - 9, which simplifies to s ≥ -34.

Front

What does the inequality 2.75 < d represent?

Back

It means that the value of d is greater than 2.75.

Front

How do you write an inequality for the graph showing -2 ≤ x ≤ 5?

Back

The inequality indicates that x is between -2 and 5, inclusive.

Front

How do you solve the inequality 16 - 4a > 8?

Back

Subtract 16 from both sides: -4a > 8 - 16, which simplifies to -4a > -8. Then divide by -4 (remember to flip the inequality): a < 2.

Front

What does the inequality x < -4 represent on a number line?

Back

It means that x can take any value less than -4.

Front

What is the solution to the inequality 3x + 5 < 14?

Back

Subtract 5 from both sides: 3x < 9. Then divide by 3: x < 3.

Front

What does the graph of x ≥ 1 look like?

Back

It includes all values of x starting from 1 and extending to the right, with a closed dot at 1.