Question

Решите неравенство:

Answer 1

X²(-x²-100)≤(-x²-100)
x²(-x²-100)-100(-x²-100)≤0
(-x²-100)(x²-100)≤0
-(x²+100)(x-10)(x+10)≤0 |: (-1)
(x²+100)(x-10)(x+10)≥0
x²+100>0 (сумма положительных чисел положительна), =>
(x+10)(x-10)≥0
     +                 -               +
------------|----------------|----------- x
            -10                10
x∈(-∞; -10]U[10;∞)

Answer 2

Solving the Inequality

To solve the given inequality, we need to find the values of x that satisfy the inequality. Let's break down the steps:

1. Step 1: Write down the inequality: 5x > 35.

2. Step 2: Solve the inequality: To solve the inequality, we need to isolate x on one side of the inequality sign. We can do this by dividing both sides of the inequality by 5.

Dividing both sides by 5, we get: x > 7.

Therefore, the solution to the inequality is x > 7.

Answer: x > 7.