4 years ago

Solve for x: −8 < x − 1 < 5

Mathematics

1 answer:

Vsevolod [243]4 years ago

7 0

Answer:

first option, -7 < x < 6

Step-by-step explanation:

add one to all sides

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Which are correct representations of the inequality 6x ≥ 3 + 4(2x – 1)? Check all that apply.

Verdich [7]

Answer:

6x ≥ 3 + 4(2x - 1)

⇔ 6x ≥ 3 + 8x - 4 => remove the parentheses

⇔ 6x - 8x ≥ 3 - 4

⇔ -2x ≥ -1

⇔ 2x ≤ 1 (or 1 ≥ 2x)

⇔ x ≤ 1/2

⇔ x ≤ 0.5

The answer for the question should be:

1 ≥ 2x

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Moses got into the elevator at the 8th floor.

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Let's call the floor which Moses started at x. Going down decreases the floor number and going up increases the floor number. We then form the equation $x-5+6-7=2$ which is the same as $x-8=0$ which means $x=8$ . Moses got in at the 8th floor.

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The quotient of b and 2 minus 4 is at least 26. I need this ASAP

Pavlova-9 [17]

For this case we must express the following expression algebraically:

<em>"The quotient of b and 2 minus 4 is at least 26"</em>

So we have to:

The quotient of b and 2 minus 4, is represented as: $\frac {b} {2-4}$

We have different signs subtracted and the sign of the major is placed:

$\frac {b} {- 2}$

Thus, the expression is written as:

$\frac {b} {2-4} \geq26\\\frac {b} {- 2} \geq26\\- \frac {b} {2} \geq26$

ANswer:

$\frac {b} {2-4} \geq26$

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