Question

Given that 11x-3>=28x +10 State the least possibe value of x if a)x is an integer b)x us a prime number​

Answer 1

a, b) no solution

Explanation:

The solution of your inequality on real numbers can be used to inform the solution for other domains.

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11x -3 ≥ 28x +10

-13 ≥ 17x . . . . . . . . subtract (11x+10)

-13/17 ≥ x . . . . . divide by the coefficient of x

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a)

If x is an integer, there is no least possible value. x will approach negative infinity. (no solution)

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b)

There are no negative prime numbers, so there are no values of x that are prime. (no solution)