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shusha [124]
3 years ago
9

Solve the inequality. Graph the solution. −8≤2/5(k−2) The solution is .

Mathematics
1 answer:
Ray Of Light [21]3 years ago
4 0

Answer:

Step-by-step explanation:

Multiply both sides by 5(k - 2)

-8*5(k - 2) ≤2               Combine -8 and 5

-40 (k - 2) ≤2                Remove the brackets

-40k + 80 ≤2               Subtract 80 from both sides

-40k ≤ -78                    Here's the trick part. Pay attention. Divide by - 40

k ≥ - 78 /- 40

k ≥ 1.95

Did you see what happened? The ≤ operation turned into ≥ That always happens when dividing by a minus or multiplying by a minus or if you change the side where literal coefficient is.

   

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Given expression is 2\frac{3}{4}+3 \frac{5}{8}.

To simplify the expression 2\frac{3}{4}+3 \frac{5}{8}.

Let us first convert the mixed fraction into improper fraction.

2\frac{3}{4}+3 \frac{5}{8}=\frac{(2\times 4) + 3}{4}+ \frac{(3 \times 8)+5}{8}

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Take LCM for the denominators (LCM of 4, 8 = 8) and make the same.

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Now, divide 51 by 8 and again write it in the mixed fraction.

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Hence, the simplified answer is 6\frac{3}{8}.

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