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Re: i beg your pardon of the following is equivalent to the pair of<#permalink>
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02 Aug 2016, 06:05
Which of the following is indistinguishable to the pair the inequalities x + 6 > 10 and also x - 3 5 ?(A) 2 (B) 2 x (C) 2 8(D) 4 8(E) 4 x 16
The above solutions space great. I simply want to include one much more tip.When it concerns multiple inequalities, I find that it helps to rearrange them so the the inequality signs are all facing the same direction (I prefer arranging castle so that the values are in ascending order indigenous left come right)So, x + 6 > 10 and x - 3 5 very first become 10 5For 10 for x - 3 5, we include 3 to both sides to get: x 8With the 2 inequality signs encountering the very same direction, it"s simple to integrate them to gain 4 8RELATED VIDEO_________________
Which the the adhering to is identical to the pair the inequalities x + 6 > 10 and also x - 3 ≤ 5 ?(A) 2 (B) 2 ≤ x (C) 2 (D) 4 (E) 4 ≤ x ≤ 16
Another approach is to remove 4 that the answer choicesFirst, x + 6 > 10 have the right to be rewritten as x > 4This way that x CANNOT same 3When we examine the price choices, we view that A, B and also C all say that x can equal 3So, get rid of A, B and CSecond, x - 3 ≤ 5 have the right to be rewritten together x ≤ 8This means that x CANNOT equal 9When we examine the staying answer choices, we view that E says that x might equal 9So, get rid of EWe"re left with answer choice DCheers,Brent_________________
<1> Simplify(x + 6 > 10) (Rightarrow x > 4)(x - 3 le 5)(Rightarrow x le 8)<2> Combine(4Answer D
Which the the complying with is identical to the pair the inequalities x + 6 > 10 and also x - 3 (A) 2 (B) 2 (C) 2 (D) 4 correct(E) 4 Solution:x + 6 > 10 and x - 3 => x > 4 and also x => 4
Which that the complying with is indistinguishable to the pair that inequalities x + 6 > 10 and x - 3 ≤ 5 ?(A) 2 (B) 2 ≤ x (C) 2 (D) 4 (E) 4 ≤ x ≤ 16
Another strategy is to eliminate 4 of the price choicesFirst, x + 6 > 10 have the right to be rewritten together x > 4This method that x CANNOT same 3When we examine the prize choices, we see that A, B and also C all say the x can equal 3So, get rid of A, B and CSecond, x - 3 ≤ 5 can be rewritten together x ≤ 8This means that x CANNOT same 9When we inspect the remaining answer choices, we check out that E says that x could equal 9So, get rid of EWe"re left v answer choice DCheers,Brent
Adding one point with her explanation...The highlighted component also says that x is better than 4 (not same to 4). So, we can also cancel E by this way._________________
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Adding one thing with your explanation...

You are watching: Which of the following is equivalent to ?

The highlighted part also claims that x is higher than 4 (not equal to 4). So, we can also cancel E by this way.
Adding one point with your explanation...The highlighted part also states that x is greater than 4 (not same to 4). So, us can additionally cancel E through this way.
The best totally free videos for ide learning:Thursdays through Ron (Click Here)The best tool for practice:https://tastecraftedmcd.com/forum/search.php?view=search_tags
We have the right to solve this question very simply by fixing each individual inequality. We additionally need to salary close attention to which side of the last answer should have an inequality. So before we also start to solve, us can eliminate E, clearly, only 1 part of the final answer have the right to have equality. 1) x+6>10is x>10-6is x> 42) x-3is xis xcombining the 2 bold parts, plainly the answer is D._________________
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