Answer :
To solve this question, we need to determine the inequality that represents the situation described: Jennifer needs at least an 84% on her last math test to achieve a B on her report card.
Let's break it down step-by-step:
1. Understand the Requirement: Jennifer needs a minimum score, which is emphasized by the words "at least." This means she should get a score of 84% or higher.
2. Translate the Requirement to a Mathematical Inequality:
- The phrase "at least 84%" translates to "greater than or equal to 84%."
- In mathematical terms, if we let [tex]\( x \)[/tex] represent Jennifer's score on the math test, we want the inequality to show:
[tex]\[
x \geq 84
\][/tex]
3. Select the Correct Option: Now, we look at the multiple-choice options provided:
- A: [tex]\( x \leq 84 \)[/tex] - This option states that the score can be less than or equal to 84, which doesn't meet the requirement.
- B: [tex]\( x \geq 84 \)[/tex] - This option states that the score needs to be at least 84 or higher, which aligns with the requirement.
- C: [tex]\( x < 84 \)[/tex] - This option states the score is less than 84, which doesn't meet the condition.
- D: [tex]\( x > 84 \)[/tex] - This option states the score has to be strictly greater than 84, but Jennifer can also get exactly 84, so this is not the best choice.
The correct inequality for the situation is [tex]\( x \geq 84 \)[/tex], which corresponds to option B.
Let's break it down step-by-step:
1. Understand the Requirement: Jennifer needs a minimum score, which is emphasized by the words "at least." This means she should get a score of 84% or higher.
2. Translate the Requirement to a Mathematical Inequality:
- The phrase "at least 84%" translates to "greater than or equal to 84%."
- In mathematical terms, if we let [tex]\( x \)[/tex] represent Jennifer's score on the math test, we want the inequality to show:
[tex]\[
x \geq 84
\][/tex]
3. Select the Correct Option: Now, we look at the multiple-choice options provided:
- A: [tex]\( x \leq 84 \)[/tex] - This option states that the score can be less than or equal to 84, which doesn't meet the requirement.
- B: [tex]\( x \geq 84 \)[/tex] - This option states that the score needs to be at least 84 or higher, which aligns with the requirement.
- C: [tex]\( x < 84 \)[/tex] - This option states the score is less than 84, which doesn't meet the condition.
- D: [tex]\( x > 84 \)[/tex] - This option states the score has to be strictly greater than 84, but Jennifer can also get exactly 84, so this is not the best choice.
The correct inequality for the situation is [tex]\( x \geq 84 \)[/tex], which corresponds to option B.
