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OlgaM077 [116]
3 years ago
15

The commutative property of addition states that you can change the order of addends in a sum. The associative property of addit

ion states that you can change the grouping of addends in a sum. Use an example to show how the communative property of addition and the associative property of addition apply to adding decimals
Mathematics
1 answer:
Anna11 [10]3 years ago
5 0
Commutative:
a+b+c=a+c+b
1.3+23.4+3.4=23.4+1.3+3.4

Associative:   
(a+b)+c=a+(b+c)

(1.3+3.4)+23.4=1.3+(3.4+23.4)
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3x + 2 ≤ 14 <br><br>-5 + 2x &gt; 15 * <br><br>-2x + 4 ≥ 18 <br><br>HaLp i don't gets
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Answer:

  1. x ≤ 4
  2. x > 10
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Step-by-step explanation:

We're guessing you want to solve for x in each case. You do this in basically the same way you would solve an equation.

1. 3x +2 ≤ 14

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3. -2x +4 ≥ 18

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<em>Additional comment</em>

The statement above that the same methods for solving apply to both equations and inequalities has an exception. The exception is that some operations reverse the order of numbers, so make the inequality symbol reverse. The usual operations we're concerned with are <em>multiplication and division by a negative number</em>: -2 < -1; 2 > 1, for example. There are other such operations, but they tend to be used more rarely for inequalities.

You will note that we avoided division by -2 in the solution of the third inequality by adding 2x to both sides, effectively giving the variable term a positive coefficient. You will notice that also changes its relation to the inequality symbol, just as if we had left the term where it was and reversed the symbol: -2x ≥ 14 ⇔ -14 ≥ 2x ⇔ x ≤ -7 ⇔ -7 ≥ x

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