Checking Solutions to Linear Inequality

Is this an equation or an inequality?

12x - 7 < 44

• Equation

• Inequality

Is this an equation or an inequality?

x > 0

• Equation

• Inequality

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.

• Astrid meets both of her expectations

• Astrid buys the expected number of fruits, but she does beyond her budget

• Astrid stays within her budget, but she doesn't buy the expected number of fruits

• Astrid doesn't meet either of her expectations

Tell whether the ordered pair is a solution of the inequality.

• Yes, it is a solution

• No, is is not a solution

Use the image to check for the correct work/explanation. Then select a choice below.

• I reviewed the correct answer and I understand my mistake(s)

• I did not review the correct answer

• I reviewed the correct answer and I DO NOT understand my mistake(s)

• I got the last question correct

• Lars meets both of his expectations

• Lars works for the expected number of days but doesn't earn the expected number of money

• Lars earns the expected amount of money but doesn't work for the expected number of days

• Lars doesn't meet either of his expectations

Is (1, 6) a solution to this inequality?

• Yes

• No

Is the point (1, 2) a solution for the following inequality? Choose the best answer that has the best explanation.

• Yes because it is located in the shaded region.

• No because it is located on the line and the line is dotted.

• Yes because it is located on the line.

• No because it is in the shaded region.