Absolute Value Applications The thermostat for a house is set to 68°F, but the actual temperature may vary by as
much as 2°F.
1. What is the midpoint?
2. What is the tolerance?
3. Write and solve an absolute value inequality that represents the temperature of the
house.
4. Graph the solution to this inequality.
5. According to your solution, would the temperature of 65 be allowed?
In a sampling conducted by the United States Air Force, the right-hand dimensions of
4000 Air Force men were measured. (The information could be used when designing control
panels, keyboards, gloves, etc.) Ninety-five percent of the palm widths, p (in inches), were
solutions of the inequality Ip - 3.49 <0.26.
6. What is the midpoint?
7. What is the tolerance?
8. Find the solution to the inequality

Asystem of linear equations with more equations than unknowns is sometimes called an overdetermined system. can such a system be consistent? illustrate your answer with a specific system of three equations in two unknowns. choose the correct answer below. a. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 6 b. no, overdetermined systems cannot be consistent because there are fewer free variables than equations. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 12 c. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 8 d. no, overdetermined systems cannot be consistent because there are no free variables. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 24