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djyliett [7]
4 years ago
10

6. 7 ≥ - 0. 2 x + 4. 5 solve the inequality

Mathematics
2 answers:
labwork [276]4 years ago
7 0

Answer:

-11≤x

Step-by-step explanation:

Given

6.7 ≥ -0.2x +4.5----------------collect like terms

6.7-4.5 ≥ -0.2x--------------divide by -0.2 both sides

2.2/-0.2 ≥ -0.2/-0.2x-------------------reverse the sign

-11 ≤ x

Alekssandra [29.7K]4 years ago
5 0

For this case we have the following inequality:

6.7\geq 0.2x + 4.5

Subtracting 4.5 from both sides of the inequality:

6.7-4.5\geq -0.2x\\2.2\geq -0.2x

Dividing between 0.2 on both sides:

\frac {2.2} {0.2} \geq-x\\11 \geq-x

We multiply by -1 on both sides, taking into account that the sense of inequality changes:

-11 \leq x

ANswer:

x \geq-11

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