Equations and Inequalities Review

Front

What does the inequality x < -4 represent on a number line?

Back

It represents all values of x that are less than -4, which are to the left of -4 on the number line.

Front

How do you interpret the inequality 6 > x?

Back

It means that x is any number less than 6.

Front

What is the slope-intercept form of the equation 8x + 4y = 16?

Back

The slope-intercept form is y = -2x + 4.

Front

How do you write an inequality for a graph that shows values between -2 and 5, inclusive?

Back

The inequality is -2 ≤ x ≤ 5.

Front

How do you solve for y in the equation 5x - y = 16?

Back

Rearranging gives y = 5x - 16.

Front

What is the definition of an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other.

Front

What is the difference between a strict inequality and a non-strict inequality?

Back

A strict inequality (e.g., < or >) does not include the boundary value, while a non-strict inequality (e.g., ≤ or ≥) does include the boundary value.

Front

How can you graph the inequality y < 3?

Back

You would draw a horizontal line at y = 3 and shade below the line, indicating all values of y that are less than 3.

Front

What does the solution set of the inequality x + 3 > 2 represent?

Back

It represents all values of x that are greater than -1.

Front

How do you convert the equation 2y - 4 = 8 into slope-intercept form?

Back

First, add 4 to both sides to get 2y = 12, then divide by 2 to get y = 6.