x <-3 includes the numbers-4, -5, -6..........
x> 5 includes the numbers 6, 7 , 8.....
here we have to find intersection of these two.
By intersection we mean the values of x that occur in both the sets,
here there is no number or value of x that occur in both the sets.
So answer is empty set
Answer:
53thst is the right. answer
The Answer Is:<span>4.222222</span>
4 2/9 = 4 + 2/9
= 4/1 + 2/9
= (4/1 * 9/9) + 2/9
= 36/9 + 2/9
= 38/9
= 38 ÷ 9 = 4.222222
Option E:
The value of m that makes the inequality true is 5.
Solution:
Given inequality is 3m + 10 < 30.
Let us first simplify the expression.
3m + 10 < 30
Subtract 10 from both side of the equation.
3m < 20 – – – – (1)
<u>To find the value of m that makes the inequality true:</u>
Option A: 20
Substitute m = 20 in (1),
⇒ 3(20) < 20
⇒ 60 < 20
It is not true because 60 is greater than 20.
Option B: 30
Substitute m = 30 in (1),
⇒ 3(30) < 20
⇒ 90 < 20
It is not true because 90 is greater than 20.
Option C: 8
Substitute m = 8 in (1),
⇒ 3(8) < 20
⇒ 24 < 20
It is not true because 24 is greater than 20.
Option D: 10
Substitute m = 10 in (1),
⇒ 3(30) < 20
⇒ 90 < 20
It is not true because 90 is greater than 20.
Option E: 5
Substitute m = 5 in (1),
⇒ 3(5) < 20
⇒ 15 < 20
It is true because 15 is less than 20.
Hence the value of m that makes the inequality true is 5.
Option E is the correct answer.