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lyudmila [28]
2 years ago
9

Solve the following compound inequality: x is greater than or equal to 2 or x is less than 2

Mathematics
1 answer:
Troyanec [42]2 years ago
6 0

9514 1404 393

Answer:

  x is any real number

Step-by-step explanation:

Think about it. Any number is either less than 2, equal to 2, or greater than 2.

The solution set is <em>all real numbers</em>.

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3 years ago
What is the value of x?
Phantasy [73]

Answer:

value of x = 5.8 mm

Step-by-step explanation:

We have given,

Two right triangles EDH and EDG.

In right triangle EDH, EH = 56mm , DH = 35 mm

Using Pythagoras theorem we can find ED.

i.e EH² = ED²+DH²

56²=ED²+35²

ED²=56²-35²

ED = √(56²-35²) = 7√39 = 43.71 mm

Now, Consider right triangle EDG

Here, EG=44.8mm , GD = x+4  and ED = 7√39

Again using Pythagoras theorem,

EG² = ED² + DG²

44.8²= (7√39)²+ (x+4)²

(x+4)² = 44.8² - (7√39)²

x+4 = √(44.8² - (7√39)²)

x+4 = 9.8

or x = 9.8 - 4 = 5.8 mm

Hence we got the value of x = 5.8 mm

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