Question

-12х< -48решите неравенство и изобразите на координатной прямой

Answer 1

X<-48:-12

X>4

Ответ: X>4

Answer 2

-12х<-48

12х>48

х>4

(4;∞ )

Answer 3

To solve the inequality -12x < -48, we need to isolate the variable x. The steps are similar to solving an equation, but with one exception: if we multiply or divide both sides by a negative number, the inequality sign will reverse. Here's the step-by-step solution:

1. Divide both sides by -12, but remember to reverse the inequality sign: x > -48 / -12

2. Simplify: x > 4

The solution to the inequality is x > 4. This means that any value of x greater than 4 will satisfy the inequality.

Now, let's graph the solution on a coordinate plane. To do this, we'll draw a number line and shade the region to represent all the values of x greater than 4.

Here's how it looks:

cssCopy code
  <--[==========|----------------------]------>
     -infinity     4                   +infinity

The shaded region to the right of 4 (excluding 4 itself) represents the solution to the inequality x > 4. Any value of x in that shaded region will satisfy the original inequality -12x < -48.