Hi, so I was wondering if y'all could help me? That would be really awesome. Thanks!
1. x/-10 > 6
A. x > 60
B. x > -60
C. x < -60
D. x < -4
Is it C?
2. 5z (underlined >) -75
A. z (underlined <) -15
B. z (underlined <) 15
C. z (underlined >) -15
D. z (underlined >) -375
Is it C?
3. 2y - 2 <14
A. y > 6
B. y > 8
C. y < 8
D. y < 6
I'm not sure about this one.
4. 25 > 1 - 3d
A. d < -8
B. d > 8
C. d < 8
D. d > -8
I'm not sure about this one.
5. Can you explain all the steps by getting this?
3a - 4 (underlined <) 5
6. Can you explain all the steps by getting this?
n/-3 + 5 > 4
#1, #2, correct
#3
2y - 2 < 14
2y < 16
y < 8
#4
25 > 1 - 3d
3d > -24
d > -8
#5
3a - 4 ≤ 5
3a ≤ 9
a ≤ 3 , that was the easiest one
#6
n/-3 + 5 > 4
n/-3 > -1
times -3, so we have to reverse the inequality sign
n < 3
Thanks Reiny! You were a great help! :)
Of course, I would be happy to help you with these questions!
For the first question, x/-10 > 6, we can start by multiplying both sides of the inequality by -10 to get rid of the fraction:
(x/-10) * (-10) > 6 * (-10)
x < -60
So the correct answer is C. x < -60.
For the second question, 5z > -75, we can solve for z by dividing both sides of the inequality by 5:
(5z)/5 > (-75)/5
z > -15
So the correct answer is C. z > -15.
Now let's move on to the third question, 2y - 2 < 14. To solve for y, we can start by adding 2 to both sides of the inequality:
(2y - 2) + 2 < 14 + 2
2y < 16
Next, we divide both sides of the inequality by 2:
(2y)/2 < 16/2
y < 8
So the correct answer is D. y < 8.
For the fourth question, 25 > 1 - 3d, we can simplify the equation by combining like terms:
25 > 1 - 3d
Subtract 1 from both sides:
25 - 1 > 1 - 1 - 3d
24 > -3d
Now, divide both sides of the inequality by -3, but remember that when dividing or multiplying an inequality by a negative number, we need to reverse the inequality sign:
(24)/(-3) < (-3d)/(-3)
-8 > d
So the correct answer is A. d < -8.
Now, let's move on to the fifth question, 3a - 4 < 5.
To solve for a, we can start by adding 4 to both sides of the inequality:
(3a - 4) + 4 < 5 + 4
3a < 9
Next, we divide both sides of the inequality by 3:
(3a)/3 < 9/3
a < 3
So the correct answer is that a is less than 3.
Finally, for the sixth question, n/-3 + 5 > 4, we can solve for n by first subtracting 5 from both sides of the inequality:
(n/-3 + 5) - 5 > 4 - 5
n/-3 > -1
Next, multiply both sides of the inequality by -3, remembering to reverse the inequality sign:
(n/-3) * (-3) < (-1) * (-3)
n < 3
So the correct answer is that n is less than 3.
I hope this explanation helps! If you have any further questions, feel free to ask.