Question

1.find the value .
1)|15-2|
2)|4-9|
3)|7|×|-4|​

Answer 1

Answer:

1)13

2) -5

3) -28 is the write answers

Answer 2

Step-by-step explanation:

Solution:

For solving these equations we will use the definition for module of a rational number.

A) If |x| = 5, then x = 5 or x = - 5, because both 5 and -5 have module 5 .

Besides there are no other numbers with such module;

B) From |3x + 4| = 7 we get that 3x + 4 = 7 or 3x + 4 = -7

From the first equation we find 3x = 7 - 4 <=> 3x = 3 <=> x = 1,

and from the second 3x = - 7 - 4 <=> 3x = -11 <=> x = -11/3

C) |1/3x + 4| = 0 means that

1/3x + 4 = 0 <=>

1/3x = -4 <=> x = -12

D) |2 - 5x| = -3 has no solution, because from the theory we find that there is no number which has negative number for module.

E) -|3x – 1| = - 11 <=> |3x - 1| = 11,

which gets 3x - 1 = 11 or 3x - 1 = -11

From solving the last two equations we find

x = 4 or x = -10/3

F) |3x - 3x + 3| = 3 <=>|3| = 3, which is identity.

Therefore every x is solution