Which of the following is the solution to the inequality below ? -6/5(4-x)<_-4(X+1/2)

Mathematics

1 answer:

LuckyWell [14K]2 years ago

7 0

Answer:

The answer is the option D

$x\leq 7/13$

Step-by-step explanation:

we have

$-\frac{6}{5}(4-x)\leq -4(x+\frac{1}{2})$

Multiply by $-5$ both sides

$6(4-x)\geq 20(x+0.5)\\24-6x\geq20x+10\\24-10\geq 20x+6x\\14\geq 26x$

Rewrite

$26x\leq 14\\x\leq 14/26\\ x\leq 7/13$

You might be interested in

Find the sum of the first 325325 positive even whole numbers.

iris [78.8K]

Multiply 325326×(325325/2)=52,918,503,138 How it works:
know that 325325+1 is 325326, then 325324+2 is the same number, therefore you will get this number as many times as half of biggest number since you sum every last biggest number-1 with every last smallest number+1. so just multiply and you will get

6 0

3 years ago

What is the argument of -5\sqrt{3}+ 5i?

Shtirlitz [24]

Answer:

150 degrees

Step-by-step explanation:

Graphing the complex number we see the angle terminates in the second quadrant. This means the argument, the angle, will be between 90 degrees and 180 degrees.

So if we create a right triangle with that point after graphing it. We see the height of that triangle is 5 because that is the imaginary part. The base of that triangle has length $5\sqrt{3}$ . The problem is this doesn't give us any part of the angle we want, but it does give us the complementary of the part of the angle that is in second quadrant.