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
The correct answer is B) Step 2.
are you sure
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.
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
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.
wrong
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)