Question

if x is an integer that satisfies the inequality 4<2x≤6, then

a. 2
b. -2
c. -3
d.-3≤x<-2

explain your answer

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

If x is an integer that satisfies the inequality 4< 2x ≤ 6, then

a. 2

b. -2

c. 3

d.-3≤x<-2

EVALUATION

Here the given inequality is

$\sf{4 < 2x \leqslant 6}$

$\sf{ \implies \: 2 < x \leqslant 3}$

Since x is an integer that satisfies the inequality

So x = 3

FINAL ANSWER

Hence the correct option is c. 3

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