Question

Step 1: 4x + 5 < 6x + 1 (Given)
Step 2: −2x + 5 < 1 (Subtraction)
Step 3: −2x < 6 (Addition)
Step 4: x > −3 (Division)

Mia is trying to find her mistake in the problem shown. In which step did she first make a mistake?
Responses
A Step 1Step 1
B Step 2Step 2
C Step 3Step 3
D Step 4

Answer 1

are you sure

Answer 2

Solve the following inequality for x
.

ax+5>13
Responses
A x>8−a
x is greater than 8 minus A
B x<8a
x<8a
C x>a8
x is greater than A over 8
D x>8a
x is greater than 8 over A

Answer 3

wrong

Answer 4

The correct answer is B) Step 2.

Answer 5

Apologies for the confusion. On closer inspection, it appears that there is no mistake in the steps provided. Therefore, Mia did not make a mistake in any of the steps given. The correct answer would be "None of the above" rather than any specific step.

Answer 6

To solve the inequality ax + 5 > 13, we need to isolate the variable x.

Subtracting 5 from both sides of the equation, we get:

ax + 5 - 5 > 13 - 5
ax > 8

To isolate x, we divide both sides of the equation by a:

(ax)/a > 8/a
x > 8/a

Therefore, the correct response would be A) x > 8/a.

Answer 7

Apologies for the mistake. Let's correct it:

To solve the inequality ax + 5 > 13, we can isolate x by subtracting 5 from both sides:

ax + 5 - 5 > 13 - 5
ax > 8

Now, let's solve for x by dividing both sides of the inequality by a. There are two cases to consider:

Case 1: a > 0
If a is positive, we can divide both sides by a without changing the direction of the inequality:

ax/a > 8/a
x > 8/a

Case 2: a < 0
If a is negative, dividing both sides by a would reverse the direction of the inequality:

ax/a < 8/a
x < 8/a

Therefore, the correct response would be either:

A) x > 8/a (if a > 0)
or
B) x < 8/a (if a < 0)