The absolute value of a number <em>a</em> is written as |a| . And represents the distance between a and 0 on a number line.
So, Option C. x≥ 11 or x ≤ 1 is correct answer
Inequality given is,
|x − 6| ≥ 5
Taking <em>positive case,</em>
x − 6 ≥ 5
x − 6 + 6 ≥ 5 + 6
x ≥ 11
Taking <em>negative case,</em>
x − 6 ≤ - 5
x - 6 + 6 ≤ -5 + 6
x ≤ 1
So, solution of given inequality is x ≥ 11 or x ≤ 1
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Answer:
Step-by-step explanation:
Tip: say they are congruent if they have the same lines and seem to be same size of triangles.
For the how do you know part it can only be SSS, SAS, or SSA Good Luck Tried my best :).
Answer:
C (-2,1)
Step-by-step explanation:
−2x − y = 3 (1)
−9x − y = 17 (2)
(1) y = -2x - 3
(2) y = -9x - 17
-2x - 3 = -9x - 17
7x = -14
x = -2
y = -2(-2) - 3
y = 4 - 3
y = 1
The number of students which are either in algebra or physics are 23 which is the second option.
Given that:-
Total number of students = 30
Number of students both in physics and algebra = 4
Total number of students in Physics = 12
Total number of students in Algebra = 19
We have to find the number of students which are either in algebra or physics.
Number of students in physics but not in algebra = 12 - 4 = 8
Number of students in algebra but not in physics = 19 - 4 = 15
We know that:-
Number of students which are either in algebra or physics = Number of students in physics but not in algebra + Number of students in algebra but not in physics
Hence, we can write,
Number of students which are either in algebra or physics = 8 +15 = 23.
We can also do this question using Venn diagram.
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