Question

7（x+2）-3（x-8）《10- решить неравенства

Answer 1

7(x + 2) - 3(x - 8) < 10

7x + 14 - 3x + 24 < 10

4x + 38 < 10

4x < - 28

x < - 7

x ∈ (- ∞ ; - 7)

Answer 2

To solve the inequality, we'll first simplify it and then isolate the variable x. Let's go through the steps:

Step 1: Simplify the inequality 7(x + 2) - 3(x - 8) < 10

Expand the terms: 7x + 14 - 3x + 24 < 10

Combine like terms: (7x - 3x) + (14 + 24) < 10 4x + 38 < 10

Step 2: Isolate the variable x Subtract 38 from both sides to get x by itself: 4x < 10 - 38 4x < -28

Step 3: Solve for x To solve for x, divide both sides by 4. Remember to reverse the inequality sign when dividing by a negative number.

x < -28 / 4 x < -7

So the solution to the inequality is x < -7.