Question

8x-2(x+5)<3(x+4) решить неравенство и указать число

Answer 1

8x-2(x+5)<3(x+4)
8x-2x-10<3x+12
6x-3x<12+10
3x<22
x<7 1/3
x(-∞;7 1/3)

Answer 2

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Answer 3

To solve the inequality 8x - 2(x + 5) < 3(x + 4), we'll follow these steps:

1. Distribute the multiplication: 8x - 2x - 10 < 3x + 12

2. Combine like terms on both sides of the inequality: 6x - 10 < 3x + 12

3. Move the constant terms to one side and the variable terms to the other side: 6x - 3x < 12 + 10

   Simplifying further: 3x < 22

4. Divide both sides of the inequality by the coefficient of x, which is 3 (remember, if you divide by a negative number, you'll need to reverse the inequality sign): x < 22/3

Therefore, the solution to the inequality 8x - 2(x + 5) < 3(x + 4) is x < 22/3.