The school band is selling candy to raise $1,800.00 to pay for their trip to a band festival. The band earns $1.50 from every box of candy sold. Kayla solved the inequality 150x Greater than or equal to 1800 to find the number of boxes the band must sell to meet their goal. She graphed her solution on a number line and interpreted the solution to mean the band will meet their goal if they sell fewer than 12 boxes.

Inequalities means not equal that is when we compare the values it is either less than or equal to. If two real numbers are related with each other through symbols like ≥,≤ or =then the relation is called an inequality.

Solving the question further:

She chose the coefficient of x as 150. It should be 1.50

Then the inequality will become,

1.50x≤1800

Solving the equation further :

Removing the decimal and Dividing by 100 in left hand side

150x/100≤1800

3x/2≤1800

Multiplying by 2

(3x/2)×2≤1800×2

In left hand side 2 gets cancelled

3x≤3600

x≤1200

The exact answer to this question is option (1) and option (3).

Learn more about Inequalities from:

https://brainly.com/question/11613554

Disclaimer:

Your question was incomplete. Please check the content below:

A number line going from 6 to 16. A closed circle is at 12. Everything to the right of the circle is shaded.

What errors did she make? Select two options.

1.She used the wrong coefficient for x in her inequality.

2.She should have used the less than or equal to symbol instead of the greater than or equal to symbol.

3.She interpreted the graph incorrectly.

4.She graphed a solution set that does not match her inequality.

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