Question

1) |x – 1,5|= 4;2) |13 – x|= 5;​

Answer 1

Ответ:

Пошаговое объяснение:

|x-1.5|=4

x-1.5=4

x=5.5

x-1.5=-4

x=-2.5

|13-x|=5

13-x=5

x=8

13-x=-5

x=18

Answer 2

Ответ:

Пошаговое объяснение:

1) х - 1,5 = 4 при х - 1,5>=0

x = 4 + 1,5

x = 5,5

-(х - 1,5) = 4 при х - 1,5<0

-x = 4 - 1,5

-x = 2,5

x = -2,5

2) 13 - х = 5 при 13 - х>=0

x = 13 - 5

x = 8

-(13 - х) = 5 при 13 - х<0

-13 + x = 5

x = 5 + 13

x = 18

Answer 3

To solve the absolute value equations, we need to find the values of 'x' that satisfy the given equations. Remember that the absolute value of a number is its distance from zero on the number line, and it is always non-negative.

1. |x – 1.5| = 4:

To solve this equation, we have two cases:

Case 1: (x - 1.5) = 4 x - 1.5 = 4 x = 4 + 1.5 x = 5.5

Case 2: -(x - 1.5) = 4 -x + 1.5 = 4 -x = 4 - 1.5 -x = 2.5 x = -2.5

So, the two solutions for the equation |x - 1.5| = 4 are x = 5.5 and x = -2.5.

2. |13 - x| = 5:

Again, we have two cases to consider:

Case 1: (13 - x) = 5 13 - x = 5 -x = 5 - 13 -x = -8 x = 8

Case 2: -(13 - x) = 5 -x + 13 = 5 -x = 5 - 13 -x = -8 x = 8

In this case, both cases yield the same result. So, the solution for the equation |13 - x| = 5 is x = 8.