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3 years ago

Solve (x - 2 < 5) U (x + 7 > 6).

Mathematics

1 answer:

dolphi86 [110]3 years ago

8 0

Answer:

A) {x | -1 < x < 7}

Step-by-step explanation:

Given in the question two inequalities,

Inequality 1

(x - 2 < 5)

x < 5 + 2

x < 7

x is smaller than 7

Inequality 2

(x + 7 > 6)

x > 6 - 7

x > -1

x is greater then -1

When (x - 2 < 5) U (x + 7 > 6).

(x < 7) U (x > -1)

-1 < x < 7

When combined, x is greater than -1 but smaller than 7

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tresset_1 [31]

Answer: She would save $175.08 during each of the next 2 weeks.

Step-by-step explanation:

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25/100 × 466.88 = $116.72

The amount remaining would be

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3 years ago

What is the domain of the square root function graphed below?

erma4kov [3.2K]

Answer:

The domain of the graph must be $x\ge \:-4$ .

Therefore,

$x\ge \:-4\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:-4\:\\ \:\mathrm{Interval\:Notation:}&\:[-4,\:\infty \:)\end{bmatrix}$

Hence, option a is true.

Step-by-step explanation:

From the graph, it is clear that the graph is heading towards positive infinity from x=-4.

The point x=-4 is included in the graph as the starting point of the graph i.e. x=4 is showing a closed circle on x=4, and heading towards positive infinity onward.

i.e. [-4, ∞)

Hence, the domain of the graph must be $x\ge \:-4$ .

Therefore,

$x\ge \:-4\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:-4\:\\ \:\mathrm{Interval\:Notation:}&\:[-4,\:\infty \:)\end{bmatrix}$

Hence, option a is true.

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3 years ago

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3 years ago