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Kisachek [45]
3 years ago
8

Solve 1.)solve 15 > - 2x -9 2.) solve 3x + 8 < 29

Mathematics
2 answers:
kipiarov [429]3 years ago
5 0
1)
15 > -2x-9
15+9 > -2x
24÷(-2) < x (the sign flips because you divide both sides by a negative number)
Hence, x > -12

2)
3x + 8 < 29
3x < 29-8
3x < 21
x < 7 (tada the answer)

castortr0y [4]3 years ago
3 0

Answer:

Problem #1:  x > -12

Problem #2:  x < 7

Step-by-step explanation:

Hello!

Problem #1:  We must isolate x (solve the inequality for x).  First, add 9 to both sides:  24 > -2x.  The next step has two parts:  Divide both sides by -2 and then reverse the direction of the inequality sign:

24     -2x

---- < -------  =>  -12 < x. or x > -12

-2       -2

Problem #2:  Subtract 8 from both sides:  3x < 21.  Then, isolate x by dividing both sides of this rersult by 3:  x < 7.

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Step-by-step explanation:

Let us denote amount spent on Newspaper ads by symbol N.

                       amount spent on Television ads by symbol T.

                       amount spent on Radio ads by symbol R.

  • Given Total amount spent on newspaper, television, and radio ads =

                   N + T + R = $88.4 billion  -------- [Equation 1]

  • Total amount spent on television and radio ads was only $2.8 billion more than the amount spent on newspaper ads alone is represented by the expression :

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  • The amount spent on newspaper ads was $5.6 billion more than what was spent on television ads.

                       N = $5.6 + T ----------- [Equation 3]

Now, taking value of R from Equation 1 and Equation 2 respectively we get;

              R = $88.4 - T - N ------------ [Equation 4]

              R = $2.8 + N - T ------------- [Equation 5]

Equating and solving Equation 4 and 5 we get,

           $88.4 - T - N = $2.8 + N - T

            $88.4 - $2.8 = 2*N

    Hence, N = $42.8 billion.

Now putting value of N in Equation 3 we get T = $42.8 - $5.6 = $37.2 billion.

And at last putting values of N & T in Equation 1 we get,

               R = $88.4 - $37.2 - $42.8 = $8.4 billion .

<em>Therefore, amount spent on newspaper ads = $42.8 billion.</em>

<em>                   amount spent on television ads = $37.2 billion.</em>

<em>                   amount spent on radio ads = $8.4 billion.</em>

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 ⇒the angles adjacent to each other

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