How do you solve #3|2x+11|+2<17#?
Solution:
By signing up, you agree to our Terms of Service and Privacy Policy
To solve the inequality (3|2x+11|+2<17), you would follow these steps:
- Subtract 2 from both sides: (3|2x+11| < 15)
- Divide both sides by 3: (|2x+11| < 5)
Now, we split this into two cases:
Case 1: (2x+11 < 5)
- Subtract 11 from both sides: (2x < -6)
- Divide both sides by 2: (x < -3)
Case 2: (2x+11 > -5)
- Subtract 11 from both sides: (2x > -16)
- Divide both sides by 2: (x > -8)
Therefore, the solution is (-8 < x < -3).
By signing up, you agree to our Terms of Service and Privacy Policy
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.
- Two coins are taken at random from a bank containing 4 dimes, 8 quarters, and 3 nickels. What is the probability that both coins will be quarters?
- How do you solve and write the following in interval notation: #7x + 8 <14x - 9#?
- A rectangle has an area of 144.8 square feet. Its length is 18.1 feet. What is the width of the rectangle?
- How do you simplify #abs(7-10)#?
- Solve the absolute value of inequalities and express in interval notation for #abs(3(x+2)-7x) <=6#?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7