Is the inequality sometimes, always, or never true
-2(2x + 9)> -4x + 9
2. Solve the compound inequality. Graph the solution.
-2 <= 2x - 4 < 4
0 <= x < -2
1 <= x < 4
1 <= x < 0
3 <= x < 6
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OpenStudy (jdoe0001):
so solve -2(2x + 9)> -4x + 9 and find out :)
OpenStudy (cwrw238):
-2(2x + 9)> -4x + 9
-4x - 18 > -4x + 9
what do you think?
OpenStudy (anonymous):
sometimes true idk honestly because this is my weakest part is inequalities
OpenStudy (jdoe0001):
why not just solve it?
OpenStudy (jdoe0001):
how would you solve say => -4x - 18 = -4x + 9
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OpenStudy (cwrw238):
add 4x to both sides of the inequality
- what do you get?
OpenStudy (anonymous):
-8x
OpenStudy (cwrw238):
the rules for inequalities are similar to those for equations
OpenStudy (cwrw238):
-4x + 4x = -8x????
OpenStudy (cwrw238):
nope
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OpenStudy (anonymous):
Oh no sorry x
OpenStudy (cwrw238):
-1 + 1 = 0
-2 + 2 = 0
-x + x = 0
OpenStudy (cwrw238):
-4x + 4x = ?
OpenStudy (anonymous):
so it is always equal
OpenStudy (cwrw238):
it should be obvious - compare - 4x + 4x = 0
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OpenStudy (cwrw238):
no go back to the inequality
-4x - 18 > -4x + 9
after adding 4x to both sides we get
-18 > + 9
is that correct??
OpenStudy (anonymous):
yes
OpenStudy (cwrw238):
is -18 greater than + 9 ?
OpenStudy (anonymous):
no
OpenStudy (cwrw238):
right so whats the answer to the original question
sometimes, never or always?
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