Module 4 Test

Front

What is the solution to the inequality -2(x + 2) < 14?

Back

x > -9

Front

How do you solve the inequality 4 - 2x < 14?

Back

x > -5

Front

What is the solution to the inequality 2(x - 1) + 4x < 10?

Back

x < 2

Front

What does the inequality x ≥ 2 and x ≤ 4 represent on a number line?

Back

It represents all values of x between 2 and 4, inclusive.

Front

What are consecutive even integers?

Back

Consecutive even integers are two even numbers that follow one another, such as 44 and 46.

Front

How do you find two consecutive even integers that sum to a specific number?

Back

Let the first integer be x. The next consecutive even integer is x + 2. Set up the equation x + (x + 2) = sum and solve for x.

Front

What is the general form of a linear inequality?

Back

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

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (<, >) do not include the boundary points, while non-strict inequalities (≤, ≥) do include the boundary points.

Front

How do you graph the inequality x < 2?

Back

Draw a number line, place an open circle at 2, and shade to the left to indicate all numbers less than 2.

Front

What is the solution set for the inequality x ≥ 2 and x ≤ 4?

Back

The solution set is the interval [2, 4], which includes all numbers from 2 to 4.