Question

express 3x-2<10+x<2+5x in the form a<x<b, where a and b are integers​

Answer 1

Answer:

-2<9x<12

Step-by-step explanation:

3x-2<10+x<2+5x

-2<3x+x+5x<2+10

-2<9x<12

Answer 2

Answer:

-1 < x < 5  , a=-1 and b=5

what is range of a value ?

The range of a value refers to the difference between the largest and smallest values in a set of data or a given range of values. It is a measure of the spread or variability of the data or values.

Explanation:

To solve the inequality 3x - 2 < 10 + x < 2 + 5x, we can first simplify it by subtracting x from all three parts of the inequality, which gives us:

2x - 2 < 10 < 4x

Next, we can add 2 to all three parts of the inequality, which gives us:

2x < 12 < 4x + 2

Finally, we can subtract 2x from all three parts of the inequality, which gives us:

-2 < 2x < 10

Dividing all three parts of the inequality by 2, we get:

-1 < x < 5

Therefore, the inequality 3x - 2 < 10 + x < 2 + 5x is equivalent to -1 < x < 5. So, we can express it in the form a < x < b, where a and b are integers are -1 and 5 respectively.

To learn more about range  follow the given link :

https://brainly.in/question/26076525

https://brainly.in/question/12082644

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