Evaluating Inequalities and Graphs

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.

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.

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.

To solve $$x + 3 > 5$$ , subtract 3 from both sides: $$x > 2$$ .

To solve $$k/5 < 15$$ , multiply both sides by 5: $$k < 75$$ .

True, because $$10 + 7 = 17$$ , which is greater than 15.

The graph includes all points to the left of and including the point (1,0) on a number line.

Draw a solid dot on -6 and shade to the right, indicating all values greater than or equal to -6.

$$x < 1$$ means x is less than 1 (not including 1), while $$x ≤ 1$$ means x is less than or equal to 1 (including 1).

This means that the value of a is either greater than or equal to 11.