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rosijanka [135]
3 years ago
8

Solve for x: 3 - (2x - 5) < -4(x + 2)

Mathematics
2 answers:
sattari [20]3 years ago
5 0

x < -23/2

Step-by-step explanation:

you open the bracket first

LHS

3-(2x - 5)

-6x+15

RHS

-4(x+2)

=-4x-8

therefore:

-6x+15 < -4x-8

By collecting the like terms

-6x+4x < -8-15

=-2x<-23

Divide both side by -2x

-2x/-2 < -23/-2

x < -23/2

nata0808 [166]3 years ago
3 0

Step-by-step explanation:

3-(2x-5) <-4(x+2)

=> 3- 2x +5 +4x +8<0

=> 16 + 2x <0

=> 2x < -16

=> x < -8

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Trevon is helping his sister study for her geometry test while staying at a hotel.
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Option (C) -: The hotel floors are parallel to each other, and the elevator moves in a path that is perpendicular to them both.

<h3>What is parallel and perpendicular ?</h3>

In geometry two lines are parallel to each other when they have no intersecting point and the distance between them is constant.

Two lines are perpendicular if they have an intersecting point and they intersect each other at at 90°.

From the given figure we can observe the distance between the floor ceiling of 3rd and 6th floor is constant therefore they are parallel to each other.Now if we imagine the elevator going up and down an imaginary line (meeting line of two elevator doors) would intersect them at an angle of 90°.

∴The hotel floors are parallel to each other, and the elevator moves in a path that is perpendicular to them both.

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Answer:

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