Answer:
a) x > − 24 
b) x < − 3
c) q < 56
Step-by-step explanation:
a) −2/5x−9<9/10
<=> 2/5x + 9 > − 9/10
<=> 2/5x > − 9/10 − 9
<=> 2×2/2×5x > − 9/10 − 9×10/10
<=> 4/10x > − 99/10
<=> x > − 99/4
<=> x > − 24 
b) 4x+6<−6
<=> 4x < − 6 − 6
<=> 4x < − 12
<=> x < − 12/4
<=> x < − 3
c) q+12−2(q−22)>0
<=> q+12−2q −2×(−22)>0
<=> (q−2q) + (12+ 44) >0
<=> −q + 56 >0
<=> q < 56
Answer:
x = -8
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 12 from both sides:
3x + 12 (-12) = -12 (-12)
3x = -12 - 12
3x = -24
Next, divide 3 from both sides:
(3x)/3 = (-24)/3
x = -24/3
x = -8
x = -8 is your answer.
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Answer:
in the forth line of the equation it should be this
-6x+10=4x+20
-6x-4x=20-10
-10/-10x=10/-10
x=-1
Answer:
x < -12
Step-by-step explanation:
Given the inequality
-2(x + 3) < 6 - x
Expand
-2x - 6 < 6 - x
Collect the like terms;
-2x + x < 6 + 6
-x < 12
Multiply through by -1
-1(-x) < -1(12)
x < -12