Five less than a number is at least -28.
x - 5 ≥ -28
3(x + 1) + 2 < 11
x < 2
3(2x + 1) > 5x - (2 - x)
always true
5a - 10 > 5
a > 3
The length of a rectangular yard is 30 meters. The perimeter is at most 90 meters. Describe the width of the yard.
at most 15m.
The product of a number and four is at most -10.
4x ≤ -10
5t - 2(t +2) ≥ 8
t ≥ 4
2(x - 1) ≥ x + 7
sometimes true
25 - 2y ≥ 33
y ≤ -4
A piece of rope 20 feet long is cut from a longer piece that is at least 32 feet long. The remainder is cut into four pieces of equal length. Describe the length of each of the four pieces.
at least 3 ft.
Six more than a quotient of a number and three is greater than 14.
x/3 + 6 > 14
2[(2y - 1) + y] ≤ 5(y + 3)
y ≤ 17
7x + 2 ≤ 2(2x - 4) + 3x
-2(n + 2) + 6 ≤ 16
n ≥ -7
A school principal estimates that no more than 6% of this year’s senior class will graduate with honors. If 350 students graduate this year, how many will graduate with honors?
no more than 21 students.
A number increased by 7 is less than 5.
x + 7 < 5
5 - 2(n+2) ≤ 4 + n
n ≥ -1
5(x - 3) < 2(x - 9)
sometimes true
2(7a + 1) > 2a - 10
a > -1
Two sisters drove 144 miles on a camping trip. They averaged at least 32 miles per gallon on the trip. Describe the number of gallons of gas they used.
at most 4.5 gal.
Twice a number is at least 15.
2x ≥ 15
1/3(7a - 1) ≤ 2a + 7
a ≤ 22
2(3x + 3) > 2(3x + 1)
always true
-17 - 2r < 3(r + 1)
r > -4
Your homework for the weekend is Pg. 38, 11-25 odd.
Just kidding. : ) Have a nice weekend.