-7f-5(-8f+10)<-4f-3-3

Mathematics

1 answer:

FromTheMoon [43]3 years ago

5 0

Solving the inequality: $-7f-5(-8f+10)$ we get $f$

Step-by-step explanation:

We need to solve the inequality: $-7f-5(-8f+10)$

Solving:

$-7f-5(-8f+10)$

Multiply -5 with the terms inside the bracket:

$-7f+40f-50$

Adding 4f on both sides

$33f-50+4f$

Adding 50 on both sides

$37f-50+50$

Divide both sides by 37

$\frac{37f}{37}$

So, solving the inequality: $-7f-5(-8f+10)$ we get $f$

Keywords: Solving inequalities

Learn more about Solving inequalities at:

#learnwithBrainly

You might be interested in

Find all points on the x-axis that are 14 units from the point (6,-7) All points on the x-axis that are 14 units from the point

Maksim231197 [3]

Answer: $(6+7\sqrt{3},0)\text{ and }(6-7\sqrt{3},0)$ are the required points.

or (18.124,0) and ( -6.124,0) are the required points.

Step-by-step explanation:

Let (x,0) be the point on x -axis that are 14 units from the point (6,-7) .

Then by distance formula , we have

$\sqrt{(x-6)^2+(0-(-7))^2}=14\ \ \ [\ \because distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}]$

Taking square on both the sides , we get

$(x-6)^2+7^2=14^2\\\\\Rightarrow\ x^2+6^2-2(6)x+49=196\\\\\Rightarrow\ x^2+36-12x=147\\\\\Rightarrow\ x^2-12x=111\\\\\Rightarrow\ x^2-12x-111=0$

Using quadratic formula : $x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\dfrac{12\pm\sqrt{(-12)^2-4(1)(-111)}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{144+444}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{588}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{2^2\times7^2\times3}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm14\sqrt{3}}{2}\\\\\Rightarrow\ x=6\pm7\sqrt{3}$