Question

Can you solve the inequality 2(x-3) is less than or equal to 10 without using the distributive property? Explain.

Answer 1

Yes, without using the distributive property, we get the value for the given expression 2(x - 3) ≤ 10 as x ≤ 8

Explanation:

Here, the given expression is:

2(x - 3) ≤ 10

Yes, the given expression can be solved without using the DISTRIBUTIVE Property

Here, consider the given expression:

2(x - 3) ≤ 10

Now, divide the inequality by 2 on both sides, we get:

`(2(x-3))/(2)  \leq  (10)/(2)\\\implies (x - 3)  \leq 5`

Now adding (+3) on both the sides, we get:

(x - 3) ≤ 5 ⇒ (x - 3 + 3 ) ≤ 5 + 3

or, x ≤ 8

Hence, without using the distributive property, we get the value of x ≤ 8 for the given expression 2(x - 3) ≤ 10