Writing and Graphing Inequalities Practice

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥ to show that one expression is larger or smaller than the other.

The symbol ≤ means 'less than or equal to'. It indicates that a value can be either less than or exactly equal to another value.

The symbol ≥ means 'greater than or equal to'. It indicates that a value can be either greater than or exactly equal to another value.

'No more than' is represented by the symbol ≤. For example, 'x contains no more than 24 grams of sugar' is written as $$x ≤ 24$$ .

'At least' is represented by the symbol ≥. For example, 'You should exercise at least 30 minutes every day' is written as $$x ≥ 30$$ .

The inequality for a maximum score of 95 points is $$p ≤ 95$$ .

The inequality $$x < 24$$ represents that the value of x is less than 24.

The inequality $$d > 2.75$$ represents that the value of d is greater than 2.75.

To graph $$b ≤ -2$$ , draw a solid dot on -2 and shade to the left, indicating all values less than or equal to -2.

The symbol < means 'less than' and does not include the value, while ≤ means 'less than or equal to' and includes the value.