Can you solve the inequality 2(x-3) is less than or equal to 10 without using the distributive property? Explain.
1 answer:
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:
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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Answer: D) reflection across y = -x
Explanation:
When we reflect over y = x, we basically swap x and y. So for instance, the point (3,1) becomes (1,3).
When reflecting over y = -x, we will do the same thing but we'll make each coordinate swap in sign from positive to negative (or vice versa). The rule for reflecting over y = -x is
So if we apply that rule to point A(3,1) then it becomes A ' (-1, -3).
Similarly, B(1,5) moves to B ' (-5, -1)
Finally, C(6,9) becomes C ' (-9, -6)