# 1. Can a linear equation and a linear inequality be solved in the same way? Explain why. makes them different? Solve the following for x: 2 – x = 3

1. Can a linear equation and a linear inequality be solved in the same way? Explain why. makes them different? Solve the following for x: 2 – x = 3 2. Suppose 3 inches of snow fall before noon and 1.5 inches per hour fall thereafter until 10 p.m. (a) Write a formula that calculates the snowfall S in inches, x hours past noon. (b) Use your formula to calculate the total snowfall at 8 p.m. (c) How much snow had fallen at 6:15 p.m.? happens when you divide or multiply an inequality by a negative number? Linear equation and linear inequality can be solved in the same way. You may add any positive or negative number to both sides of an inequality. You may multiply or divide both sides of an inequality by any positive number. If you follow these rules, your problem will end up correct. You must follow the rules, if you want to get the answer correct. You can make mistakes, if you do not follow the rules. Going back on the problem to make sure it is correct, can also. You must always check back over your answer, to make sure it is correct. A linear equation is any equation involving one or two variables whose exponents are one. In the case of one variable, one solution exists for the equation. For example, with 2x = 6, x can only be 3. A linear inequality is any statement involving one or two variables whose exponents are one, where inequality rather than equality is the center of focus. For instance, with 3y < 2, the “<” represents less than and the solution set includes all numbers y < 2/3.