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Xelga [282]
2 years ago
11

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

Mathematics
1 answer:
STatiana [176]2 years ago
6 0

Answer:

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

Step-by-step 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:

\frac{2(x-3)}{2}  \leq  \frac{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

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