How do you solve and graph #3b+2<5b-6<=2b+9#?

Answer 1

#b in (4, 5] subset RR#

#3b + 2 < 5b - 6 and 5b - 6 <= 2b + 9#
#-2b < - 8 and 3b <= 15#
#b > 4 and b <= 5#
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Answer 2

To solve and graph the inequality 3b + 2 < 5b - 6 ≤ 2b + 9:

  1. Subtract 2b from both sides of the second inequality to isolate the variable term: 5b - 2b - 6 ≤ 9

  2. Simplify both sides: 3b - 6 ≤ 9

  3. Add 6 to both sides to isolate the variable term: 3b ≤ 15

  4. Divide both sides by 3 to solve for b: b ≤ 5

So, the solution to the inequality is: b ≤ 5

To graph the solution on a number line, plot a closed circle at 5 (since it includes the value 5) and shade to the left to represent all values less than or equal to 5.

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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.

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.

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.

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.

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