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

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:

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

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b