Algebra 1 Inequalities Test

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.

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.

First, simplify: 5v + 15 - 10v > -10. Combine like terms: -5v + 15 > -10. Then, subtract 15 from both sides: -5v > -25. Finally, divide by -5 (remember to flip the inequality): v < 5.

To solve, subtract 30 from both sides: n ≥ 20.

It means that the variable s can take any value greater than 15.

The solution is 18, as it is the only number greater than 15.

'AND' means both conditions must be true simultaneously, while 'OR' means at least one of the conditions must be true.

On a number line, shade to the left of -2 (including -2) and to the right of 5 (not including 5).

The solution set includes all real numbers less than 30.