Question

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

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

Answer 1

Answer:

x = 4

Step-by-step explanation:

The statment

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

Answer 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,

$2x-4<6$

$\implies 2x<6+4$

$\implies 2x<10$

$\implies x<\frac{10}{2}$

$\implies x<5$  ............. (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.

Know More:

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