1) -2/5x-9<9/10
2) 4x+6<-6
3) q+12-2(q-22)>0
plz help me with these inequalities, I have already done 27 other questions like them.
2. Subtract 6 from both sides of the inequality. Then, divide by 4. Your answer should be x < -3.
Now, try to solve the others.
-_- why is it that whenever I type something for anything other than math it gets answered, but when I type something for math it's like everyone skips it... /)_-
1. -2/5x -9 <9/10
-2/5x -9 + 9 < 9/10 +9
-2/5x < 99/10
x < 99/10* 5/-2
=
x < -99/4
2) 4x+6<-6
4x +6-6 <-6 -6
4x < -12
=
x < -3
3) q+12-2(q-22)>0
q + 12 -2q + 44>0
-q +56 >0
-q + 56-56 >0-56
-q > -56
=
q < 56
plz help me with these inequalities, I have already done 27 other questions like them.
You complained -- yet your questions were answered within 20 minutes.
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Thankyou, but the answers were incorrect so...
Sure! I'd be happy to help you with these inequalities.
1) -2/5x - 9 < 9/10:
To solve this inequality, we need to isolate the variable x. First, let's get rid of the fraction by multiplying every term in the inequality by the least common denominator, which is 10.
10(-2/5x - 9) < 10(9/10)
Simplifying both sides gives us:
-4x - 90 < 9
Next, let's move the constant term (-90) to the right side of the inequality by adding 90 to both sides:
-4x - 90 + 90 < 9 + 90
Simplifying further:
-4x < 99
Finally, divide both sides of the inequality by -4. Since we are dividing by a negative number, we need to reverse the inequality sign:
-4x/-4 > 99/-4
Simplifying:
x > -99/4
So the solution to this inequality is x > -99/4.
2) 4x + 6 < -6:
To solve this inequality, we need to isolate the variable x. First, let's move the constant term (+6) to the right side of the inequality by subtracting 6 from both sides:
4x + 6 - 6 < -6 - 6
Simplifying both sides gives us:
4x < -12
Next, divide both sides of the inequality by 4:
4x/4 < -12/4
Simplifying further:
x < -3
So the solution to this inequality is x < -3.
3) q + 12 - 2(q - 22) > 0:
To solve this inequality, we need to simplify and isolate the variable q. First, let's distribute the -2 to both terms inside the parentheses:
q + 12 - 2q + 44 > 0
Combine like terms:
-q + 56 > 0
Next, move the constant term (+56) to the right side of the inequality by subtracting 56 from both sides:
-q + 56 - 56 > 0 - 56
Simplifying both sides gives us:
-q > -56
Finally, divide both sides of the inequality by -1. Since we are dividing by a negative number, we need to reverse the inequality sign:
(-q)/(-1) < (-56)/(-1)
Simplifying:
q < 56
So the solution to this inequality is q < 56.
I hope this helps! Let me know if you have any further questions.