What is the solution of 3+ x-2/x-3 less than or equal to 0

Mathematics

1 answer:

bagirrra123 [75]3 years ago

4 0

Answer:

The solution set consists of all the real numbers smaller than or equal to 11/4:

$x\leq \frac{11}{4}$

Step-by-step explanation:

We need to solve for x (that means isolate x on one side of the inequality symbol) in the following inequality:

$3+\frac{x-2}{x-3} \leq 0\\\frac{x-2}{x-3} \leq -3\\x-2\leq -3\,(x-3)\\x-2\leq -3x+9\\x+3x\leq 9+2\\4x\leq 11\\x\leq \frac{11}{4}$

You might be interested in

A toy box has a volume of 1/3 cubic yard.What is the volume of the toy box

artcher [175]

1/2 and that will be your answer

3 0

3 years ago

suppose you have ab on a coordinate plane located at a(-3,-4) and b(5,-4). under a dilation centered at (9,0), ab becomes a'b' w

Galina-37 [17]

The distace between the center of dilation and point a is diven by:

$d=\sqrt{(9-(-3))^2+(0-(-4))^2} \\ \\ =\sqrt{(9+3)^2+(0+4)^2}=\sqrt{12^2+4^2} \\ \\ =\sqrt{144+16}=\sqrt{160}=\sqrt{16\times10}=4\sqrt{10}$

The distance between the center of dilation and point a' is given by:

$d=\sqrt{(9-6)^2+(0-(-1))^2} \\ \\ =\sqrt{3^2+(0+1)^2}=\sqrt{3^2+1^2} \\ \\ =\sqrt{9+1}=\sqrt{10}$

It can be seen that the distance from the center of dilation to the image is 1/4 times the distance from the centre of dilation to the preimage.

Therefore, the scale factor is 1/4.

7 0

4 years ago

8. On a winter's day, the temperature at 6 P.M.

Ivahew [28]

Answer:5 hours because -2.5*5=-12.5

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Bahir’s science class grew sunflowers for an experiment. The tallest sunflower grew to 2.387 meters. Bahir made a sketch of the

horsena [70]

Nearest tenth meter because a decimal with a tenth is the biggest the decimal could be if you wanted it to still be a decimal.