Let 3.27<<5.89 represent an interval on the number line. Find the value that is in the middle of the interval.
1 answer:
Answer:
The middle value of the interval is 4.58
Step-by-step explanation:
Consider the provided interval.
We need to find the value that is in the middle of the interval.
We can find the middle value of the interval by adding the upper and lower limit and divide the sum of the upper and lower limits by 2.
Here the upper limit is 3.27 and lower limit is 5.89.
Hence, the middle value of the interval is 4.58
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Answer:
Both a = −4 and a = −1 are true solutions
Step-by-step explanation:
Given
Required
The true statement about the solutions
We have:
Square both sides
Collect like terms
Expand
Factorize
Factor out a + 4
Split:
Solve:
Answer:
a. and iii
b. and i
c. and iv
d. and ii
Step-by-step explanation:
a. x + 12 > 15 = x > -2
- 12 - 12
x > 3
2( x = 3)
-3x > 6
/-3 /-3
x > -2
b. 4x + 12 < 20 = x <2
- 12 - 12
4x < 8
/4 /4
x < 2
c. -8x < 16 = x > -2
/ -8 /-8
x > -2
d. 55 < 35 + 10x = x > 2
-35 -35
20 < 10x
/10 /10
2 < x = x > 2
Hope that helps!