Just looking for a second opinion to see if I did these problems correctly.
1. 2x-(7+x) < or equal to x
2x-7-x < or equal to x
x-x-7 < or equal to x-x
-7 < or equal to x
(x, -7)
2. -2x(x+6) > x+4
-2x-12+12 > x + 4 + 12
-2x > x + 16
-2x - x > x - x + 16
-2x - x > 16
-3x > 16
-3/-3x > -16/3
(x, -16/3)
3. 2(4-3/5q) < 5
8 -30q < 5
8 - 8 - 30q < 5 - 8
-30q < -3
-30/-30q < -3/-30
q < 3/30
q < 1/10
(q, 1/10)
4. t/3 -t/2 > 3/4
t > 3/4
(t, 3/4)
5. l2x-1l < 3
l2x-1+1l < 3 + 1
l2xl < 4
2x/2 < 4/2
x < 2
(x, 2)
I think I have the hang of this, but a second opinion would be greatly appreciated. Thanks!!
1. 2x-(7+x) < or equal to x
2x-7-x < or equal to x
x-x-7 < or equal to x-x
-7 < or equal to x
(x, -7)
2. -2x(x+6) > x+4
-2x-12+12 > x + 4 + 12
-2x > x + 16
-2x - x > x - x + 16
-2x - x > 16
-3x > 16
-3/-3x > -16/3
(x, -16/3)
3. 2(4-3/5q) < 5
8 -30q < 5
8 - 8 - 30q < 5 - 8
-30q < -3
-30/-30q < -3/-30
q < 3/30
q < 1/10
(q, 1/10)
4. t/3 -t/2 > 3/4
t > 3/4
(t, 3/4)
5. l2x-1l < 3
l2x-1+1l < 3 + 1
l2xl < 4
2x/2 < 4/2
x < 2
(x, 2)
I think I have the hang of this, but a second opinion would be greatly appreciated. Thanks!!