Solve Equations and Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

How do you represent the solution to the inequality x < -6?

Back

The solution can be represented on a number line with an open circle at -6 and shading to the left, indicating all numbers less than -6.

Front

What is the solution to the equation 2x + 3 = 11?

Back

x = 4.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater than or less than another.

Front

How do you solve the inequality 3x - 5 > 1?

Back

Add 5 to both sides to get 3x > 6, then divide by 3 to find x > 2.

Front

What is the solution to the equation 5y - 2 = 3y + 6?

Back

y = 4.

Front

What does the symbol '≥' represent in inequalities?

Back

The symbol '≥' means 'greater than or equal to'.

Front

How do you graph the inequality y < 2x + 3?

Back

Graph the line y = 2x + 3 with a dashed line and shade below the line to represent all points where y is less than 2x + 3.

Front

What is a compound inequality?

Back

A compound inequality combines two inequalities, such as x < 3 and x > 1, and is often written as 1 < x < 3.