Question

Consider the equation 5+x=n

5
+
x
=
n
. What must be true about any value of x
x
if n
n
is a negative number? Explain your answer. Include an example with numbers to support your explanation.

Answer 1

x < -5

Explanation:

Now the value of x is,

→ 5 + x = n

→ x = n - 5

The value of n when negative,

→ n < 0 ---- {n = 0}

When n is a negative number,

→ x < 0 - 5

→ [ x < -5 ]

Hence, the answer is x < -5.

Answer 2

• x < - 5

Explanation:

Given equation:

• 5 + x = n

If n is negative then we get:

• n < 0 or
• 5 + x < 0
• x < - 5

If n is negative then x is less than - 5.

Example:

• x = - 6 ⇒ 5 + (-6) = 5 - 6 = - 1 ⇒ -1 < 0