Algebra - Inequalities

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 '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.

First, subtract 14 from both sides: -4x ≤ 40. Then, divide by -4 (remember to flip the inequality sign): x ≥ -10.

The solution set includes all real numbers greater than or equal to -10.

After 2 days, the cost is 2 * $39 = $78. So, $120 - $78 = $42 is left for mileage.

The cost of mileage can be expressed as 0.25m, where m is the number of miles driven.

You can drive 42 / 0.25 = 168 miles.

To solve, divide by -3 (flip the inequality sign): x ≥ -6.

All options (-2, -1, 0, 2) are solutions since they are all less than or equal to 10.