Question

1) -2x>0 2) 4x>1 3) -4x>1 4)x^>4

Answer 1

Х<-2
х>1/4
х<-1/4
х>2
Это не сложные неравенства

Answer 2

To solve these inequalities, let's break them down one by one:

1. -2x > 0

To solve this inequality, we need to isolate the variable x. Since we have a negative coefficient (-2) on the left side, we'll need to flip the inequality when dividing or multiplying by a negative number. Let's solve it step by step:

Divide both sides by -2, remembering to flip the inequality: x < 0 / -2 x < 0

So the solution to the inequality -2x > 0 is x < 0.

2. 4x > 1

To solve this inequality, we'll isolate the variable x. We'll divide both sides by 4:

x > 1 / 4 x > 0.25

So the solution to the inequality 4x > 1 is x > 0.25.

3. -4x > 1

Similarly, we'll isolate x by dividing both sides by -4 and flipping the inequality:

x < 1 / -4 x < -0.25

So the solution to the inequality -4x > 1 is x < -0.25.

4. x^2 > 4

To solve this inequality, we need to consider two cases: when x is positive and when x is negative. When x is positive, we'll have x > 2, and when x is negative, we'll have -x > 2, which can be rewritten as x < -2.

Combining the two cases, we have x > 2 or x < -2.

So the solution to the inequality x^2 > 4 is x > 2 or x < -2.