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Vera_Pavlovna [14]
3 years ago
10

Solve: 2x ≤ -2/3 (4x + 4)

Mathematics
2 answers:
Sidana [21]3 years ago
6 0
Answer: x ≤ 1

reason:

first, multiply 4x and 4 by -2/3, which leaves you with the equation 2x ≤ -8/3x + 8/3
then, you add 8/3x to both sides, making it 4 2/3x ≤ 8/3
divide both sides by 4 2/3 and you get x ≤ 1
klio [65]3 years ago
4 0

Answer:

x ≤ 4/7

Step-by-step explanation:

Simplify the given 2x ≤ -2/3 (4x + 4) by multiplying both sides by (3/2):

(3/2)(2x) ≤ (3/2)(-2/3)(4x + 4)

We get 3x ≤ -4x - 4

Solve for x by combining like terms.  Add 4x to both sides, obtaining

7x ≤ 4

and so the solution is the set

x ≤ 4/7

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<u><em>The complete question is</em></u>

The first three steps of completing the square to solve the quadratic equation x2 +4x -6= 0, are shown below.

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