Lesson 1.4: Equations and Inequalities Essential Question: How do you check for solutions of equations and inequalities?

Key Vocabulary Equation: an expression that uses an equal sign to state that two things are equal Open Sentence: an equation that contains one or more variables Inequality: an open sentence that uses, to show that two things are not equal

Example 1: Checking for Solutions Check whether the numbers 2 and 3 are solutions to the equation 3x+1=7

Example 2: Checking Solutions Check whether the numbers 2,3, and 4 are solutions to the equation 4x-2=10  x=2  x=3  x=4

Example 3: Real- Life Equation You need to buy ingredients for nachos. In the supermarket you find a bag or tortillas that costs $2.99, beans cost $.99, cheese costs $3.99, tomatoes cost $1.00, and olives cost $1.49. You have a ten-dollar bill. About how much more money will you need?

Example 4: Checking for Solutions Decide whether 4 is the solution of the inequality: a.2x-1 < 8 b.x+4 > 9 c.x-3 > 1