If 2x+2 > Or = 5x+11, then x is
Show your work and explain
2007-12-30 04:09:17 · 8 answers · asked by innosa 2 in Science & Mathematics ➔ Mathematics
A.) x/= -3 C.) x >/= 12 D.) x>/=3
The correct answer is A.) congrats to those who chose A.)
2007-12-30 04:30:08 · update #1
2x+2>=5x+11
2x-5x>=11-2
-3x>=9
x<=-3
the sign is reversed because you are dividing both sides by a NEGATIVE 3
2007-12-30 04:15:55 · answer #1 · answered by nightowl 2 · 0⤊ 0⤋
OK
If 2x+2 > Or = 5x+11; let's make them equal
2x+2 = 5x+11
-3x = 9
x = -3
So when x = -3, the equations are equal.
Now go back to your original statement
2x+2 >= 5x+11
Notice, as x goes higher (-2, -1, 0, etc.) the side with the 5x gets bigger, and thus your statement become false.
So x < or = -3 is the correct answer, (i.e, x must be -3 or less - -4, -5 , etc.)
Hope that helps.
2007-12-30 12:16:59 · answer #2 · answered by pyz01 7 · 0⤊ 0⤋
2x+2 >= 5x+11
2x -5x >= 11 - 2
-3x >= 9
x <= -9/3 'Multiplying by a negative number changes the direction of the unequality.
x <= -3
2007-12-30 12:16:04 · answer #3 · answered by Gearld GTX 4 · 0⤊ 0⤋
2x+2>=5x+11
-9>=3x
-3>=x
so x is less than or equal to -3
2007-12-30 12:16:25 · answer #4 · answered by j s 2 · 0⤊ 0⤋
If 2x+2 > Or = 5x+11, then x is
2x -5x >/= 11-2
-3x >/= 9
-x >/= 3
x
2007-12-30 12:16:09 · answer #5 · answered by ironduke8159 7 · 0⤊ 0⤋
substract -5x:
2x+2-5x >= 11
-3x+2>=11
substract 2:
-3x >= 9
divide by 3:
-x>=3
multiply by -1 (that changes the orientation of the ">")
x<=-3
2007-12-30 12:15:45 · answer #6 · answered by artie 4 · 1⤊ 0⤋
2x+2 >= 5x + 11
Subtract 3x from both sides
-3x + 2 >= 11
Subtract 2 from both sides
-3x >= 9.
Now, when you divide an inequality by a negative
number, you reverse its direction.
So the answer is x <= -3.
2007-12-30 13:19:56 · answer #7 · answered by steiner1745 7 · 0⤊ 0⤋
In each case subtract on both sides of the equation then divide on bith sides.
2007-12-30 12:17:03 · answer #8 · answered by Barcadcadacada 6 · 0⤊ 0⤋