Question

2) -5 + x < -5;5) x + x > 0;​

Answer 1

-5 + х < -5                 x+x > 0

x < -5+5                    2x > 0 |:2

x < 0                          x > 0

x∈ (-∞;0)                    x∈ (0;+∞)

Answer 2

Let's solve the inequalities:

2. -5 + x < -5

First, add 5 to both sides of the inequality:

x < 0

So, the solution to the first inequality is x < 0.

5. x + x > 0

Combine like terms on the left side:

2x > 0

Now, divide both sides by 2. Since we're dividing by a positive number, the direction of the inequality remains the same:

x > 0

So, the solution to the second inequality is x > 0.

To summarize:

2. x < 0
3. x > 0