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koban [17]
4 years ago
14

Help please! (7th grade math)

Mathematics
1 answer:
amm18124 years ago
5 0

Solution :-

- 0.5 x - 5 < - 1.5

=> -0.5x < 3.5

[ multiplying inequality by ( - ) -ve sign changes the inequality ]

=> 0.5x > - 3.5

=> x > -7

Hence , -5 is the possible solution for the inequality because x is greater than -7 !

So , Lena is correct !!

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Solving Rational equations. LCD method. Show work. Image attached.
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Step-by-step explanation:

The given rational equation is

\frac{2b-5}{b-2} -2=\frac{3}{b+2}

The Least Common Denominator is (b+2)(b-2).

Multiply each term in the equation by the LCD.

(b+2)(b-2)\times \frac{2b-5}{b-2} -(b+2)(b-2)\times2=(b+2)(b-2)\times\frac{3}{b+2}

Simplify;

(b+2)\times \frac{2b-5}{1} -2(b+2)(b-2)=(b-2)\times\frac{3}{1}

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2b^2-5b+4b-10 -2(b^2-4)=3b-6

2b^2-5b+4b-10 -2b^2+8=3b-6

-b-2=3b-6

3b+b=-2+6

4b=4

b=1

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