Finding Solutions to Linear Inequalities

What is a similarity between solving linear inequalities and linear equations in one variable?

• Both require flipping the inequality sign when multiplying or dividing by a negative number.

• Both involve finding a specific value for the variable.

• Both can be solved using similar algebraic operations like addition and subtraction.

• Both always have a single solution.

What is a key difference between solving linear inequalities and linear equations in one variable?

• Linear equations can have more than one solution, while inequalities cannot.

• Linear inequalities require checking the solution by substituting back into the original inequality.

• Linear inequalities require flipping the inequality sign when multiplying or dividing by a negative number.

• Linear equations require graphing the solution on a number line.

Which of the following is a TRUE statement about INEQUALITIES?

• Every inequality has only one solution.

• Inequalities may have multiple solutions.

Is this an equation or an inequality?

12x - 7 < 44

• Equation

• Inequality

Is this an equation or an inequality?

x > 0

• Equation

• Inequality

Choose all of the solutions to the linear inequality.

• (0, 0)

• (0, -4)

• (-7, 3)

• (-2, 2)

Choose all of the solutions to the linear inequality.

• (0, -5)

• (0, 0)

• (5, 5)

• (-5, 2)

Choose all the solutions to the inequality.

• (0, -1)

• (-5, 2)

• (5, 1)

• (0, 5)

Choose all the possible solutions of the inequality.

• (7, 0)

• (0, 0)

• (10, -2)

• (-5, -2)

Choose all the possible solutions of the inequality.

• (-4, -4)

• (5, 2)

• (-1, -3)

• (-4, 10)