Regular
Solve for X
6x + 2+ 6x < 14
X<1
IN: (neg. infinity , 1)
2n + 7 ≥ 27 or 3 + 3n ≤ 30
2n + 7 ≥ 27 or 3 + 3n ≤ 30
n ≥ 10 or n ≤ 9
IN: (neg. infinity, 9] or [10, infinity)
-1 < 9 + n < 17
-1 < 9 + n < 17
n > -10 and n< 8
IN: (-10, 8)
The human ear can hear sounds between 20 Hz and 20,000 Hz. Write this as an inequality using variable x.
The human ear can hear sounds between 20 Hz and 20,000 Hz. Write this as an inequality using variable x.
20 < x < 20,000
Graph the compound inequality.
r ≥ 6 or r < -6
Graph the compound inequality.
r ≥ 6 or r < -6
-2m + 2 - 3 ≤ 9
-2m + 2 - 3 ≤ 9
m ≥ -5
IN: [-5, infinity)
7x - 5 ≥ 65 or -3x - 2 ≥ -2
7x - 5 ≥ 65 or -3x - 2 ≥ -2
x ≥ 10 or x ≤ 0
IN: (neg. infinity, 0] or [10, infinity)
-50 < 7k + 6 < -8
-50 < 7k + 6 < -8
k > -8 and k < -2
IN: (-8, -2)
A welterweight boxer must weigh more than 140 pounds but at most 147 pounds. Write an inequality in x for the weight range
A welterweight boxer must weigh more than 140 pounds but at most 147 pounds. Write an inequality in x for the weight range
140 < x <= 147
Graph the compound inequality.
-7 < v ≤ -2
Graph the compound inequality.
-7 < v ≤ -2
5(6 + 3x) + 7 ≥ 127
5(6 + 3x) + 7 ≥ 127
x ≥ 6
IN: [6, infinity)
-10x + 3 < -37 or 3x - 10 < -25
-10x + 3 < -37 or 3x - 10 < -25
x > 4 or x<-5
IN: (neg. infinity, -5) or (4, infinity)
-36 < 3p - 6 < -15
-36 < 3p - 6 < -15
p > 10 and p < -3
IN: (-3, 10)
A company is hiring trainees with less than 1 year of experience and managers with 5 or more years of experience. Write an inequality in x to represent this situation.
A company is hiring trainees with less than 1 year of experience and managers with 5 or more years of experience. Write an inequality in x to represent this situation.
x < 1 OR x >= 5
Graph the compound inequality.
-36 < 9 - 9a < 90
Graph the compound inequality.
-36 < 9 - 9a < 90
-8x + 2x - 16 < -5x + 7x
-8x + 2x - 16 < -5x + 7x
x > -2
IN: (-2, infinity)
3n + 2 ≤ -2 or 8n - 4< 3n - 4
3n + 2 ≤ -2 or 8n - 4< 3n - 4
n ≥ 1 or n < 0
IN: (neg. infinity, 0) or [1, infinity)
-33 ≤ -7n - 12 < -26
-33 ≤ -7n - 12 < -26
n ≤ 3 and n > 2
IN: (2, 3]
Pet Supplies makes a profit of $5.50 per bag on its line of natural dog food. If the store wants tomakeaprofit of no less than $5225, how many bags of dog food does it need to sell?
5.50x = 5225
At least 950 bags of dog food
Graph the compound inequality.
8a-7 ≥ 7a +1 or 2a - 2 ≥ 4a + 4
Graph the compound inequality.
8a-7 ≥ 7a +1 or 2a - 2 ≥ 4a + 4
3(p - 3) - 5p > -3p - 6
3(p - 3) - 5p > -3p - 6
p > 3
IN: (3, infinity)
-8x - 5 ≥ 6x -1 or 4 + 4x ≤ 3x - 3
-8x - 5 ≥ 6x -1 or 4 + 4x ≤ 3x - 3
x ≥ 2 or x ≤ -7
IN: (neg. infinity, -7] or [2, infinity)
5x + 10 ≤ -4x -17 < 9 - 2x
5x + 10 ≤ -4x -17 < 9 - 2x
x > -13 and x ≤ -3
IN: (-13, -3]
A taxi charges a flat rate of $1.75, plus an additional $0.65 per mile. If Erica has at most $10 tospendonthe cab ride, how far could she travel?
1.75 + 0.65x ≤ 10
No more than 12.7 miles
Graph the compound inequality.
7n-2 ≥ 6n + 2 or 6 - 9n ≥ 1 - 10n
Graph the compound inequality.
7n-2 ≥ 6n + 2 or 6 - 9n ≥ 1 - 10n