Solve and Graph One Step Inequalities

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

'≥' means 'greater than or equal to'.

Front

How do you graph the inequality x ≥ -5 on a number line?

Back

To graph x ≥ -5, draw a solid dot on -5 to indicate that -5 is included, and shade the line to the right to show all numbers greater than -5.

Front

What is the difference between '>' and '≥'?

Back

'>' means 'greater than' and does not include the number, while '≥' means 'greater than or equal to' and includes the number.

Front

What is the solution set of the inequality x < 3?

Back

The solution set of x < 3 includes all real numbers less than 3.

Front

How do you solve the inequality 2x - 4 < 6?

Back

Add 4 to both sides to get 2x < 10, then divide by 2 to find x < 5.

Front

What does it mean to solve an inequality?

Back

To solve an inequality means to find all values of the variable that make the inequality true.

Front

What is the graphical representation of the inequality x ≤ 1?

Back

The graphical representation of x ≤ 1 is a solid dot on 1 with a shaded line extending to the left.

Front

How do you express the solution of an inequality in interval notation?

Back

In interval notation, the solution of x < 3 is expressed as (-∞, 3). For x ≥ -5, it is expressed as [-5, ∞).

Front

What is a compound inequality?

Back

A compound inequality is an inequality that combines two or more inequalities, often using 'and' or 'or'.