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Amelia, Luis, Shauna, and Clarence used different approaches to solve the inequality
7.2b + 6.5 > 4.8b – 8.1.
Amelia started by subtracting 7.2b from both sides to get 6.5 > –2.4b – 8.1.
Luis started by subtracting 4.8b from both sides to get 2.4b + 6.5 < – 8.1.
Shauna started by subtracting 6.5 from both sides to get 7.2b > 4.8b – 14.6.
Clarence started by adding 8.1 to both sides to get 7.2b + 14.6 > 4.8b.
Which student’s first step was incorrect, and why?
Amelia’s, because the variable term must be isolated on the left side
Luis’s, because he flipped the inequality sign when he subtracted
Shauna’s, because she did not apply the subtraction property of equality properly
Clarence’s, because the terms he added together were not like terms

Respuesta :

coolboy21
Luis’s, because he flipped the inequality sign when he subtracted
JeanaShupp

Answer: Luis’s first step was incorrect, because he flipped the inequality sign when he subtracted


Step-by-step explanation:

Given: Amelia, Luis, Shauna, and Clarence used different approaches to solve the inequality

7.2b + 6.5 > 4.8b – 8.1.

If Luis started by subtracting 4.8b from both sides ,then he would get

7.2b + 6.5 - 4.8b> 4.8b – 8.1- 4.8b

⇒2.4b + 6.5 > – 8.1.  But he wrote 2.4b + 6.5 < – 8.1 by flipping the inequality sign which was not correct .

The sign of inequality get flipped if we multiply or divide a negative numbers to the both sides .

Therefore, Luis’s first step was incorrect, because he flipped the inequality sign when he subtracted.

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