The number - 1.5 is less than the number 1.3.
Used the concept of a number system that states,
A writing system used to express numbers is known as a number system. It is the mathematical notation used to consistently express the numbers in a particular set using digits or other symbols.
Given that,
The numbers are - 1.5 and 1.3
Since the negative number is always greater than the positive number.
So, we get;
- 1.5 < 1.3
As the number - 1.5 is negative and 1.3 is a positive number.
Therefore, - 1.5 < 1.3
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Answer:
(1, 4)
Step-by-step explanation:
(x + 1 < 5) is solved by subtracting 1 from both sides of this inequality:
x < 4.
(x - 4 > -3) is solved by adding 4 to both sides: x > 1.
The solution of (x + 1 < 5) ∩ (x - 4 > -3) is thus (1, 4).
The measure of the angles is given as 46°, 42°, and 92° respectively.
The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
Let the number be x,
According to the question,
1st angle = 7x + 4
2nd angle = 1 st angle - 4 = 7x
3rd angle = 2 [1st angle]
= 2[7x + 4] = 14x + 8
For a triangle, the sum of the angle should be 180°
7x + 4 + 7x + 14x + 8 = 180
28x + 12 = 180
28x = 168
x = 168 / 28
x = 6
Now,
1st angle = 7[6] + 4 = 46°
2 nd angle = 46 - 4 = 42
3rd angle = 2 × 46 = 92°
Thus, the measure of the angles is given as 46°, 42°, and 92° respectively.
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A.
–7
B.
−7.2
C.
−10.5
D.
−15