1. Sam solved the following problem:
-4x + 5 > 29
-4x + 5 - 5 > 29 - 5
-4x > -24
-4x/-4 > -24/-4
x > 6
What were his two mistakes? (3 points)
Thank you
Notice Henry picked up the 2nd mistake in the link provided by Writeacher.
https://www.jiskha.com/questions/1782590/sam-solved-the-following-problem-4x-5-29-4x-5-5-29-5-4x-24-4x-4
You're welcome. =)
Sam made two mistakes in solving the given inequality:
Mistake #1: In the first step, when subtracting 5 from both sides (-4x + 5 - 5 > 29 - 5), Sam correctly subtracted 5 from the right side, but incorrectly subtracted 5 from the left side. The correct operation should have been to subtract 5 from both sides, resulting in: -4x > 24 instead of -4x > -24.
Mistake #2: In the final step, when dividing both sides by -4 (-4x/-4 > -24/-4), Sam correctly divided the right side by -4, but incorrectly divided the left side by -4. The correct operation should have been to divide both sides by -4, resulting in: x < -6 instead of x > 6.
Therefore, Sam's two mistakes were:
1. Incorrectly subtracting 5 from the left side in the first step.
2. Incorrectly dividing the left side by -4 in the final step.