Choose the correct solution graph for the inequality.

Mathematics

1 answer:

Contact [7]3 years ago

4 0

The correct answer is: Option number 4 (Last Option)

Step-by-step explanation:

Given inequality is:

-6x > 42

In order to solve the inequality,

Dividing both sides by 6

$-\frac{6x}{6} > \frac{42}{6}\\-x > 7$

Multiplying by -1

$x$

As the solution is x<7, this means that the number 7 will not be included in the solution and all numbers less than 7 will be a part of the solution.

The number which is not included in the solution is marked by a shallow circle on the number line.

Hence,

The correct answer is: Option number 4 (Last Option)

Keywords: Number line, inequality

Learn more about inequality at:

#LearnwithBrainly

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MatroZZZ [7]

Set up a proportion.

$\frac{3~minutes}{2~questions}$ = $\frac{x~minutes}{12~questions}$

Cross multiply.

2x=36
x=12

It would take her 12 minutes.

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Formula for surface area of a cube: 6a² where a=20.

6 x (20)²
6 x 400
= 2400

Surface area: 2400 cm

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Mean absolute deviation: The average distance from each number in the set to the mean of the set.

Mean of the set: $\frac{(3+8+10+12+15)}{5} = \frac{48}{5} = 9.6$

9.6-3=6.6
9.6-8=1.6
10-9.6=0.4
12-9.6=11.4
15-9.6=5.4

Mean of 6.6, 1.6, 0.4, 11.4, and 5.4: $\frac{(6.6+1.6+0.4+11.4+5.4)}{5} = \frac{25.4}{5} = 5.08$