Question 119358
6y + 10 > 8-(y+14)
Remove the bracket (neg outside the bracket changes the signs), and you have:
6y + 10 > 8 - y - 14
6y + 10 > -y - 6
:
Combine the y's on the left and the numbers on the right
6y + y > -6 - 10
7y > -16
y > {{{-16/7}}}
:
:
4.6(x-3.4) > 5.1x
Multiply what is inside the brackets:
4.6x - 15.64 > 5.1x
4.6x - 5.1x > +15.64
-.5x > 15.64
:
x has to be positive; multiply equation by -1; this reverses the inequality sign
+.5x < -15.64
x < {{{-15.64/.5}}}
x < -32.28
:
:
-5x -(2x+3) > 1
Remove the brackets
-5x - 2x - 3 > 1
-7x > 1 + 3
-7x > 4
:
x has to be positive; multiply equation by -1; this reverses the inequality sign
7x < -4
x < {{{-4/7}}}
:
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