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How do you solve and graph #-1/3x-2<=-4#?

Answer 1

Genesis Allen

#x>=+6#

#-1/3x-2<=-4 -> 1/3x+2>=4#

#x/3>=4-2#

#x/3>=2#

#x>=6#

The graph of #x>=6# is all points on the #xy-# plane for which #x>=6 forall y# (A vertical line through the point #x=6# and all x greater than 6) as shown below.

graph{(-x/3)-2<=-4 [-10, 10, -5, 5]}

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Answer 2

Eli Assouline

To solve and graph the inequality ( -\frac{1}{3}x - 2 \leq -4 ), follow these steps:

Step 1: Add 2 to both sides to isolate the term with ( x ): [ -\frac{1}{3}x \leq -4 + 2 ] [ -\frac{1}{3}x \leq -2 ]

Step 2: Multiply both sides by -3 to get rid of the fraction and flip the inequality sign because we're multiplying by a negative number: [ (-3) \times (-\frac{1}{3}x) \geq (-2) \times (-3) ] [ x \geq 6 ]

So, the solution to the inequality is ( x \geq 6 ).

To graph this inequality, draw a solid line at ( x = 6 ) and shade the area to the right of the line, including the point at ( x = 6 ) because it's greater than or equal to.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

How do you solve and graph #-1/3x-2&lt;=-4#?

How do you solve and graph #-1/3x-2<=-4#?