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Salsk061 [2.6K]
3 years ago
15

Plz help me get the answer

Mathematics
2 answers:
tigry1 [53]3 years ago
5 0

-1/3 x + 6 ≥ -1

-1/3 x ≥ -7

1/3 x ≤ 7

x ≤ 21

fredd [130]3 years ago
4 0

Answer:

<h2>x ≤ 21</h2>

Step-by-step explanation:

-\dfrac{1}{3}x+6\geq-1\qquad\text{subtract 6 from both sides}\\\\-\dfrac{1}{3}x\geq-7\qquad\text{change the signs}\\\\\dfrac{1}{3}x\leq7\qquad\text{multiply both sides by 3}\\\\x\leq21

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To solve this absolute value equation, we can use find the solutions as follows taking into account the definition of absolute value, then, we have:

|20x-19|=0\Rightarrow20x-19=0,or-(20x-19)=0

Now, we can solve both equations to find the solution(s):

First case:

20x-19=0\Rightarrow20x=19\Rightarrow x=\frac{19}{20}

Second case:

-(20x-19)=0\Rightarrow-20x+19=0\Rightarrow-20x=-19\Rightarrow x=-\frac{19}{-20}\Rightarrow x=\frac{19}{20}

Then, both solutions are the same, because of the absolute rule (this is the point when y = 0, that is the x-intercept for this function.)

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