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3 years ago

Simplify the expression

Mathematics

2 answers:

MaRussiya [10]3 years ago

5 0

11) 7 + -10+(4(5+-3)) = 7+-10+8=5

12) (12 +-10)+3x+-1(2x+4x), 12+-10x+3x+-2x+-4x = 12+-13x

makvit [3.9K]3 years ago

5 0

11. According to the Order of Operations, you start with the inner brackets and work outward. Then, finally, you do the sum left to right.

... 7 + (-10) +(4(5 -3))

... = 7 + (-10) +4(2)

... = 7 + (-10) + 8

... = -3 + 8

... = 5

12. (12 -10x) +3x -(2x +4x)

... = (12 -10x) +3x -6x . . . . . . combine terms inside parentheses

... = 12 - 10x + 3x - 6x . . . . . terms inside the left parentheses cannot be combined

... = 12 -7x -6x . . . . . . . . . . . here, we're combining terms left to right. Of course like terms can be added in any order you may desire, as long as you pay attention to signs. It is sometimes convenient to add all the positve terms, add all the negative terms, then find the sum of those. -10x +3x -6x = 3x -(10x +6x) = 3x -16x = -13x.

... = 12 -13x

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$-5$

Now let us simplify this to get the value of a,

Adding 15 to both the sides,

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So we have a>10 and a<17

One more thing that we need to look at is whether we will have close dots or open dots at 10 or 17.

If we have "=" sign along with inequality sign (≤ or ≥) then we use closed dot.

If we dont have "=" sign along with inequality sign (< or >) then we use open dot.

In our case we use open dot , since we dont have "=" sign.

So Answer will be option third, line starting from 10 to 17 with open dots at 10 and 17.

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