Match the inequality with its solution. -\frac{2}{5}x 14 A. x 35 B. x -35 D. x

Question

Match the inequality with its solution. -\frac{2}{5}x> 14 A. x > 35 B. x < 35 C. x > -35 D. x < -35

zeronknight · Answer

$$-\frac{2}{5}x> 14$$

pooja195 · Answer

Mutliply by the reciporcal

pooja195 · Answer

$$(-5/2)-\frac{2}{5}x> 14(-5/2)$$

mathmale · Answer

I agree with Pooja.  The reciprocal of -2/5 is -5/2.  Note that if you multiply an inquality by a negative quantity, you MUST reverse the direction of the inequality symbol.

pooja195 · Answer

@mathmale my plan was to do that at the end because I did not want to complicate things.

zeronknight · Answer

owo????

pooja195 · Answer

$$(-5/2)-\frac{2}{5}x> 14(-5/2)$$
What is 14(-5/2)=?

zeronknight · Answer

Not so sure?

pooja195 · Answer

$$\huge~\rm~\bf~\frac{ 14\times -5=?  }{ 1\times 2=?  }$$

zeronknight · Answer

should 14 be a negative? and 1 x 2 = 2

zeronknight · Answer

Well would 14  x -5 = -insert negative number here?-

pooja195 · Answer

Do 14 x 5 then add the negative sign

zeronknight · Answer

-70 then

pooja195 · Answer

Good -70 divided by 2=?

zeronknight · Answer

35

anonymous · Answer

- 35

pooja195 · Answer

when we divide a positive by a negative the result will be a negative

pooja195 · Answer

So...
x>-35
what do we get once we flip the sign?

zeronknight · Answer

X < -35

pooja195 · Answer

Good job well done :-)

zeronknight · Answer

But 70 was positive?

zeronknight · Answer

Oh nevermind XD

pooja195 · Answer

I mentioned  above when you divide a postive by a negative vice versa you get a negative answer

zeronknight · Answer

When we times a postivie and a negative the result is negative. When we divide a positive  by a negativee we get negative? @pooja195