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How do you solve and graph #2-5<=2w#?

Answer 1

#w>=(-3)/2#

#2 - 5 <= 2w#
#-3 <= 2w#
Flip the equation
#2w >= -3#
Finally, divide both sides by #color(red)(2)#
#(2w)/color(red)(2) >= (-3)/color(red)2#
#w>=(-3)/2#

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Answer 2

Avery Alexander

To solve and graph the inequality 2 - 5 ≤ 2w, first add 5 to both sides to isolate the variable, obtaining -3 ≤ 2w. Then, divide both sides by 2 to solve for w, yielding -3/2 ≤ w. To graph this inequality on a number line, plot a closed circle at -3/2 (or -1.5) to represent the inclusive boundary, and shade the region to the right to indicate all values greater than or equal to -3/2.

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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 #2-5&lt;=2w#?

How do you solve and graph #2-5<=2w#?