Question

Solve the inequality below to determine and state the smallest possible value of x in the solution set. - 7(x + 4) + 3x < 8x - 2(2x - 2)

Answer 1

given the inequality :

- 7(x + 4) + 3x < 8x - 2(2x - 2)

so,

-7x - 28 + 3x < 8x - 4x + 4

combine like terms:

-7x + 3x - 8x + 4x < 28 + 4

-8x < 32

Divide both sides by -8

Do not forget to flip the inequality sign

so,

x > -4

so, The solution is the interval ( -4 , ∞ )

On the number line the solution will be :

The smallest possible interger of x = -3

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