Let's do both. For the first one, we can add 1 to both sides using the property of equality, and get 4x < -12. Then, we divide by 4, getting us x<-3. For the second, we subtract 3 from both sides to get -2x < 4. Then, we divide by -2 on both sides, but when we divide by a negative we have to switch the sign. So, we get x > -2. Hope this helps.
Answer:
x<5
Open circle at 5 going to the left
x >1
Open circle at 1 going to the right
Step-by-step explanation:
7x -19 < 16
Add 19 to each side
7x -19 +19< 16+19
7x< 35
Divide by 7
7x/7 < 35/7
x<5
Open circle at 5 going to the left
9+3x>12
Subtract 9 from each side
9-9 +3x >12-9
3x >3
3x/3 >3/3
x >1
Open circle at 1 going to the right
<span>First we calculate z using the formula:
z = (x - μ)/σ</span>
Where:
x = our variable, 10
μ = mean, 8
σ = standard dev, 2
Substituting known
values:<span>
z = (10 - 8)/2
z = 2/2
z = 1
Using the tables of
the normal distribution to find the p-value with z = 1
p = 0.8413
Since we want
"greater than 10”, we need to subtract the probability from 1
therefore
p* = 1 - 0.8413 = <span>0.1587</span></span>
Answer:
C
Step-by-step explanation:
Hopefully this helps