Question

А) –20|х| – 1 = – 11;

Answer 1

Відповідь:

–20|х| – 1 = – 11;

-20|х|=-11+1

-20|х|=-10

|х|=1/2

х= +- 1/2

Покрокове пояснення:

Answer 2

To solve the equation -20|x| - 1 = -11, you need to isolate the absolute value term, |x|.

Here are the steps to solve this equation:

1. Add 1 to both sides of the equation to get rid of the -1 on the left side:

-20|x| - 1 + 1 = -11 + 1

This simplifies to:

-20|x| = -10

2. Divide both sides by -20 to isolate the absolute value term |x|:

(-20|x|) / (-20) = (-10) / (-20)

This simplifies to:

|x| = 1/2

3. Now, you have two cases to consider for the absolute value:

a) x = 1/2 b) x = -1/2

So, the solutions to the equation -20|x| - 1 = -11 are x = 1/2 and x = -1/2.