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Big Ideas Math Algebra 1 A Bridge to Success

BI

Big Ideas Math Algebra 1 A Bridge to Success View details

Mathematical Practices

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Exercise 1 Page 52

Press Y= and write the inequality in the first row.

x<- 4

Consider the given inequality. 2x+3

Fönster med funktioner

Having entered the inequality in the calculator, we now push GRAPH to draw it.

Fönster med en graf

Notice that the graph is to the left of -4. Since the original inequality is strict, we will use the symbol <. x<- 4 We obtained that each number less than - 4 is the solution of the inequality.

Alternative Solution

Different Approach

We can solve the given inequality without using calculator. To do so, we should first gather all of the variable terms on one side of the inequality and all of the constant terms on the other side using the Properties of Inequality. In this case, we need to use the Subtraction Property of Inequality. Let's do it!

2x+3

LHS-x

2x+3-x

Subtract terms

x+3<- 1

LHS-3

x+3-3<- 1-3

Subtract terms

x<- 4

Solving the inequality algebraically, we also got that each number less than - 4 is the solution of the inequality.

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