Math, asked by Katyf05, 9 months ago

The statement “x ≥ 4 and 2x – 4< 6” is true when x is equal to

A) 4
B) 5
C) 1
D) 10

Answers

Answered by Anonymous
2

Answer:

x = 4

Step-by-step explanation:

The statment

x ≥ 4 and 2x – 4< 6  ===> 4 ≤ x < 5  is true when x = 4

Attachments:
Answered by sonuvuce
2

The statement x ≥ 4 and 2x – 4< 6 is true when x is equal to 4

Therefore, option (A) is correct

Step-by-step explanation:

x\ge 4  ............. (1)

And,

2x-4&lt;6

\implies 2x&lt;6+4

\implies 2x&lt;10

\implies x&lt;\frac{10}{2}

\implies x&lt;5  ............. (2)

From (1) and (2), it is clear that both the inequalities will be satisfied only when

x = 4

Therefore, option (A) is correct

Hope this answer is helpful.

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