Chapter 6 Review 24-25

Front

What does the inequality x ≥ -5 represent on a number line?

Back

It represents all values of x that are greater than or equal to -5, including -5 itself.

Front

How do you solve the inequality y - 10 > 14?

Back

Add 10 to both sides to get y > 24.

Front

What is the maximum number of pizzas you can buy if each costs $9 and you have $72?

Back

You can buy a maximum of 8 pizzas, since 72 / 9 = 8.

Front

What is the concept of absolute error in measurements?

Back

Absolute error is the difference between the measured value and the true value, indicating the accuracy of the measurement.

Front

If a board should be 13 inches long with an absolute error of 0.08 inches, what is the minimum possible length?

Back

The minimum possible length is 12.92 inches (13 - 0.08).

Front

What is the general form of a linear inequality?

Back

A linear inequality is typically expressed in the form ax + b < c, ax + b > c, ax + b ≤ c, or ax + b ≥ c.

Front

How do you graph the solution to the inequality x ≥ -5?

Back

Draw a number line, place a closed dot on -5, and shade to the right to indicate all numbers greater than -5.

Front

What is the difference between an inequality and an equation?

Back

An inequality shows a relationship where one side is not necessarily equal to the other, while an equation states that two expressions are equal.

Front

What does the solution p ≤ 8 indicate in a real-world context?

Back

It indicates that the maximum number of pizzas you can buy is 8, meaning you can buy 0 to 8 pizzas.

Front

What is the significance of the absolute error of 0.08 inches in woodworking?

Back

It indicates the acceptable range of length for the wood pieces, allowing for slight variations in cutting.