Question

|х-9|=1 |х+2|=7 |х-3/5|=7/10 |х+2/3|=1/4 |х-0,2|=0,7 |х+2,4|=1,9

Answer 1

Ответ:

Пошаговое объяснение:

Ix-9l=1 x-9-1=0 x=10

lx+2l=7 x+2-7=0 x=5

lx-3/5l=7/10 x=3/5+7/10=6/10+7/10=13/10=1,3 x=1,3

lx+2/3l=1/4 x=-2/3+1/4=(-8+3)/3*4=-5/12

lx-0,2l=0,7 x=0,2+0,7=0,9 x=0,9

Answer 2

To solve each of these absolute value equations, you need to consider both the positive and negative cases of the absolute value expression. Here's how you can do it step by step:

1. |x - 9| = 1 To find the values of x, you'll set the expression inside the absolute value bars equal to both 1 and -1 (the positive and negative versions of 1). x - 9 = 1 --> x = 10 x - 9 = -1 --> x = 8

So, the solutions for this equation are x = 10 and x = 8.

2. |x + 2| = 7 Again, set the expression inside the absolute value bars equal to both 7 and -7. x + 2 = 7 --> x = 5 x + 2 = -7 --> x = -9

The solutions for this equation are x = 5 and x = -9.

3. |x - 3/5| = 7/10 Set the expression inside the absolute value bars equal to both 7/10 and -7/10. x - 3/5 = 7/10 --> x = 7/10 + 3/5 = 7/10 + 6/10 = 13/10 = 1.3 x - 3/5 = -7/10 --> x = -7/10 + 3/5 = -7/10 + 6/10 = -1/10 = -0.1

The solutions for this equation are x = 1.3 and x = -0.1.

4. |x + 2/3| = 1/4 Set the expression inside the absolute value bars equal to both 1/4 and -1/4. x + 2/3 = 1/4 --> x = 1/4 - 2/3 x + 2/3 = -1/4 --> x = -1/4 - 2/3

You can calculate the exact values for x, but for the sake of brevity, I will leave the results in fraction form. Note that the solutions for this equation will be two different fractions.

5. |x - 0.2| = 0.7 Set the expression inside the absolute value bars equal to both 0.7 and -0.7. x - 0.2 = 0.7 --> x = 0.7 + 0.2 = 0.9 x - 0.2 = -0.7 --> x = -0.7 + 0.2 = -0.5

The solutions for this equation are x = 0.9 and x = -0.5.

6. |x + 2.4| = 1.9 Set the expression inside the absolute value bars equal to both 1.9 and -1.9. x + 2.4 = 1.9 --> x = 1.9 - 2.4 = -0.5 x + 2.4 = -1.9 --> x = -1.9 - 2.4 = -4.3

The solutions for this equation are x = -0.5 and x = -4.3.