emily solved the ineqality as shown below which described the error that emuily made in her work A: she did not combine 5 and 10 correctly B: she did not filp the inequailty sign C: she did not divid correctly D: she did not make an error in her work
From the given options, we need to determine which describes the error that Emily made in her work when solving the inequality.
To do this, we can analyze each option:
A: She did not combine 5 and 10 correctly.
B: She did not flip the inequality sign.
C: She did not divide correctly.
D: There was no error in her work.
To find the answer, we need to understand how to solve the inequality. Let's say the inequality is represented as 5x < 10.
To solve it, we divide both sides of the inequality by 5, like this: (5x)/5 < 10/5. This simplifies to x < 2.
Now, let's analyze each option based on how Emily solved the inequality:
A: She did not combine 5 and 10 correctly.
- Combining the numbers is not relevant to solving the inequality, so this option does not describe the error.
B: She did not flip the inequality sign.
- In this case, Emily may have made an error because when dividing both sides of the inequality by a negative number (in this case, 5), the inequality sign must be flipped. For example, if the original inequality is -5x < 10, after dividing by -5, it becomes x > -2.
C: She did not divide correctly.
- Emily performed the division correctly according to the explanation above, so this option does not describe the error.
D: There was no error in her work.
- Based on the above analysis, Emily did make an error by not flipping the inequality sign, so this option is incorrect.
Considering these explanations, the correct answer would be: B) She did not flip the inequality sign.