Which number line represents the solution to the inequality 22 > 10x

Mathematics

1 answer:

S_A_V [24]3 years ago

3 0

Answer:

$\large\boxed{x$

Step-by-step explanation:

$22>10x\qquad\text{divide both sides by 10}\\\\\dfrac{22}{10}>\dfrac{10x}{10}\\\\2.2>x\to\boxed{x$

<, > - open circle

≤, ≥ - closed circle

<, ≤ - draw the line to the left

>, ≥ - draw the line to the right

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Answer:

<em>y = 3x - 17</em>

Step-by-step explanation:

Here is the point-slope form of the equation of a line.

$y - y_1 = m(x - x_1)$

If you are given a slope, m, and a point on the line, (x1, y1), you just plug in the values into the equation above, and you get the equation of the line.

In your problem, you are given a point on the line, (5, -2). Now you need the slope of the line. Your line is perpendicular to the given line. The slopes of perpendicular lines are negative reciprocals. If you know the slope of a line, the slope of its perpendicular is found by flipping the fraction and changing the sign.

The given line has slope -1/3.

Flip -1/3 to get -3.

Now change the sign to get 3.

The slope of the line you need is 3. The line passes through point (5, -2).

Now we use the point-slope equation and we plug in the values we have.

$y - y_1 = m(x - x_1)$

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