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Greeley [361]
4 years ago
10

Seven less than negative two times a number is greater than or equal to 41

Mathematics
1 answer:
kotegsom [21]4 years ago
4 0

Solution, -2n-7\ge \:41\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-24\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-24]\end{bmatrix}

Steps:

\mathrm{Add\:}7\mathrm{\:to\:both\:sides}, -2n-7+7\ge \:41+7

\mathrm{Simplify}, -2n\ge \:48\\\\

\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}, \left(-2n\right)\left(-1\right)\le \:48\left(-1\right)

\mathrm{Simplify}, 2n\le \:-48

\mathrm{Divide\:both\:sides\:by\:}2, \frac{2n}{2}\le \frac{-48}{2}

\mathrm{Simplify}, n\le \:-24

The correct answer is n\le \:-24

I hope this helps!!!


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Can anyone help me with this <br><br> All of them
Svetllana [295]

Answer:

Hence x =  60 and y = 50

e = 85 degrees

f = 158 degrees

Step-by-step explanation:

1) The sum of the interiror angle of the triangle is equal to the exterior

Given

Interior angles = y and 70

Exterior angle = 120 degrees

According to the law;

y + 70 = 120

y = 120-70

y = 50°

Sum of angle in the triangle is 180

x + y + 70 = 180

x + 50 + 70 = 180

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x = 180-120

x = 60

Hence x =  60 and y = 50

2) The sum of angles on a straight line is 180 degrees

40 + 55 + e = 180

95 + e = 180

e = 180 - 95

x = 85 degrees

3) Sum of angle at a point is 360 degrees

Hence 130 + 36.8 + 35.2 + f= 360

130 + 72 + f = 360

202 + f = 360

f = 360 - 202

f = 158 degrees

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