Question

x is 6 or less and more than – 5
A: – 5 <
x
≤ 6 B: – 5 >
x
≤ 6 C: – 5 ≤
x
≤ 6 D: – 5 <
x
< 6 E: – 5 ≤
x
< 6

Answer 1

Answer:

A

Step-by-step explanation:

X is 6 or less so we can start there  x≤6. X is also more than -5 so we can do that. -5<x. If we put those two together we get -5<x≤ 6.

Answer 2

The expression for the statement is option (A) $-5 < x\leq 6$ is the correct answer.

What is an inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is the condition of being unequal.

For the given situation,

The statement of inequality is x is 6 or less and more than – 5

The inequality for x is 6 or less ,

⇒ $x\leq 6$

The inequality for x is more than – 5

⇒ $x > -5$

Thus x is 6 or less and more than – 5 can be written as inequality,

⇒ $-5 < x\leq 6$

Hence we can conclude that the expression for the statement is option (A) $-5 < x\leq 6$ is the correct answer.

Learn more about inequalities here

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