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oee [108]
2 years ago
7

|x-1|+2<4 solving for x

Mathematics
1 answer:
Ganezh [65]2 years ago
8 0

Answer:

x < 3 and x > -1

Step-by-step explanation:

Step 1: Subtract 2 from both sides.

  • |x-1| + 2 - 2 < 4 - 2
  • |x-1|

Step 2: Solve absolute value.

  • We know x - 1 < 2 and x - 1 > -2.

Condition 1:

  • x - 1 < 2
  • x - 1 + 1 < 2 + 1 (Add 1 to both sides)
  • x < 3

Condition 2:

  • x - 1 > -2
  • x - 1 + 1 > -2 + 1 (Add 1 to both sides)
  • x>-1

Therefore, the answer is x < 3 and x > -1.

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3 years ago
Could someone help me please ​
Alexxx [7]

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7. 3x-25=14

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7 0
3 years ago
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3 years ago
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Lynn was shopping and found a purse that was marked with a discount of 1/3 off if the original cost of the purse was $80 how muc
sdas [7]

The amount paid by Lynn is $ 53.33

<em><u>Solution:</u></em>

Given that, Lynn was shopping and found a purse that was marked with a discount of \frac{1}{3} off

Original cost of purse = $ 80

<em><u>To find: Amount paid by Lynn</u></em>

Discount = \frac{1}{3} \text{ of original price }

Therefore, discount price is given as:

\text{ Discount } = \frac{1}{3} \times 80 = 26.67

Thus discount price = $ 26.67

<em><u>Amount paid by Lynn:</u></em>

Amount paid = original price - discount price

Amount paid = 80 - 26.67 = 53.33

Thus amount paid by Lynn is $ 53.33

5 0
3 years ago
Help ? ............ .... .....
gayaneshka [121]
Firstly triangle OAB is equilateral so R = AB =OA = 8 in

MES (ARC AB) = R x Ф (in Radian). Note that 60° =π/3


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