Solve the system of equations in part e in at least two ways. write a word problem that can be solved using a system of two linear equations. solve the problem and give the meaning of the answer.

Yes, but with the following two rules to remember. If you multiply or divide both sides by a negative number, then the inequality sign is reversed (> becomes ). Adding and subtracting numbers have no effect on the direction of the inequality. [ Also, if you have a 'not equals' sign, then it is unaffected by the multiplication. The same is true if you take the reciprocal of both sides. Example: with the equation: 1/x = 2, take the reciprocal and x = 1/2. With the inequality 1/x 1/2. You could also solve it by multiplying both sides by x, then dividing both sides by 2, and get 2 2. Another example: 3 - x > 7. Subtract 3 from both sides: -x > 4. Multiply both sides by -1: x 7 + x, then subtract 7 from both sides: -4 > x, which means the same as x < -4