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svetlana [45]
3 years ago
9

Suppose a friend is having difficulty solving -2(q-5) > -3(q+1). Explain how to solve the inequality, showing all the necessa

ry steps and identifying the properties you would use.
Mathematics
1 answer:
IgorC [24]3 years ago
8 0

Firstly, use the distributive property of multiplication (A(B + C) = A×B + A×C) on -2(q - 5) and -3(q + 1): -2q+10>-3q-3

Next, apply the addition property of equality (whatever you add to one side you have to add the same quantity to the other), and add 3q on both sides: q+10>-3

Lastly, apply the subtraction property of equality (whatever you subtract on one side you have to subtract the same amount on the other side), and subtract 10 on both sides. <u>Your final answer will be q>-13</u>

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Answer:

The correct option is 1.

Step-by-step explanation:

If a quadratic equation is defined as

ax^2+bx+c=0             .... (1)

Then the sum of the roots is -b/a and the product of roots is c/a.

The given equation is

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From (1) and (2) we get a=3, b=11 and c=-4.

The sum of roots is

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The sum of roots is -\frac{11}{3}.

Therefore the correct option is 1.

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