Inequalities

Front

What is an inequality?

Back

An 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 3.6 - 4.85a ≥ -6.1?

Back

First, isolate 'a': 3.6 + 6.1 ≥ 4.85a; 9.7 ≥ 4.85a; a ≤ 2.

Front

What is the solution to the inequality 10 ≥ x - 3?

Back

To solve, add 3 to both sides: 10 + 3 ≥ x; 13 ≥ x; or x ≤ 13.

Front

How do you solve the inequality x + 5 ≤ 13?

Back

Subtract 5 from both sides: x ≤ 13 - 5; x ≤ 8.

Front

Write an inequality for the situation: You are driving, and the maximum speed limit is 55.

Back

s ≤ 55, where 's' represents your speed.

Front

What is the solution to the inequality 2x - 4 < 10?

Back

Add 4 to both sides: 2x < 14; then divide by 2: x < 7.

Front

What does it mean if a solution to an inequality is 'x > 5'?

Back

It means that 'x' can take any value greater than 5, but not equal to 5.

Front

How do you graph the inequality x ≤ 4 on a number line?

Back

Draw a solid dot on 4 and shade to the left, indicating all values less than or equal to 4.