Can someone please help me solve this problem?
It's about inequalities in algebra.

Question

Can someone please help me solve this problem?
It's about inequalities in algebra.

shiree19 · Answer

Here is the problem:
$$-\frac{ 2 }{ 5 } x - 9 < \frac{ 9 }{ 10 }$$

texaschic101 · Answer

-2/5x - 9 < 9/10 --- to get rid of fractions in an equation or an inequality, multiply everything by the common denominator, which is 10.

(10)* -2/5x - (10)* 9 < (10) * 9/10
-4x - 90 < 9 --- now add 90 to both sides
-4x < 99 -- divide by -4, and change the inequality sign
x > - 99/4

shiree19 · Answer

okay.  thanks.  But why did the inequality sign have to be flipped?

texaschic101 · Answer

whenever you divide/multiply by a negative number, the inequality sign must be changed

shiree19 · Answer

Oh ok.  Thanks so much Medaled you.

texaschic101 · Answer

YW :)

texaschic101 · Answer

and thanks for the medal :)

shiree19 · Answer

Anytime.

shiree19 · Answer

@texaschic101 can you check my work on the next problem.  I did it myself I just want to make sure I'm correct.
Problem:
solve - $$4x + 6 < -6$$
My work:
Subtract 6 from both sides.
we now have $$4x < -12$$
Next divide both sides by 4
we now have $$x < -3$$
Now flip the inequality sign.
Final answer is $$x > -3$$

Am I right?

shiree19 · Answer

@texaschic101