Answer:
Correct answer: F. graph F or x ∈ |-5 ; 5| (including endpoints)
Step-by-step explanation:
Let us first define the absolute value:
| x | = 1. { x with condition x ≥ 0 }
or 2. { - x with condition x < 0 }
This is a linear inequality
1. x ≤ 5 ∧ x ≥ 0 ⇒ 0 ≤ x ≤ 5 or interval x ∈ |0 ; 5| (including endpoints)
2. - x ≤ 5 when we multiply both sides of the equation by -1 we get:
x ≥ -5 ∧ x < 0 ⇒ -5 ≤ x < 0 or interval x ∈ |-5 ; 0) (including -5)
The solution to this linear inequality is the union of these two intervals:
x ∈ |-5 ; 0) ∪ |0 ; 5| ⇒ x ∈ |-5 ; 5| (including endpoints)
x ∈ |-5 ; 5| (including endpoints)
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Answer:
Option D) x = 2
Step-by-step explanation:
(4-2)(x-2) = 4x - 8
Distribute and simplify 4-2
2(x-2) = 4x - 8
2x-4 = 4x -8
Subtract 2x on both sides and add 8 on both sies
4x - 8 = 2x-4
2x= 4
Divide 2 on both sides
x = 2
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Answer:
x = -4
Step-by-step explanation:
EM = 5x
ET is half of EM so this statement is true: 5x = 2(3x + 2)
Solve for x.
5x = 2(3x +2)
Distribute 2.
5x = 6x + 4
Isolate x.
-x = 4
Divide -1 out.
x = -4
(Solve for y)