Writing Inequalities
Write an inequality for "x is greater than 7"
x>7
x+4>9
x>5
Graph x > 1
Open circle at 1, arrow to the right
You need at least 8 points to pass.
p > 8
Write a senario for x < 25
x is less than 25; answers vary.
Write an inequality for "a number n is at most 12."
n<12
m - 6 < 2
m < 8
Graph t < -2
Closed dot at -2, arrow to the left
A roller coaster ride allows people less than 500 lbs to ride.
w < 500
When do you flip the sign in solving an inequality?
When multiplying or dividing by a negative number.
Write an inequality for "the quantity y is less than negative three."
y<-3
Solve 3x > 12. Is x = 5 a solution?
x > 12, Yes it is a solution.
Graph x > 0 and STATE whether 0 is included
closed dot at 0 with arrow right; 0 is included
A taxi charges $3 plus $2 per mile, you have at most $15. Write an inequality and solve for how many miles you can go.
3 + 2m < 15, m < 6
Solve: 2x - 4 > 12
x > 8
Write an inequality for "twice a number is less than 10."
2x<10
Solve and Check: -2k > -8. Is k = 3 a solution?
k < 4, yes it is a solution
Write the inequality for the given graph: closed dot at 2 and arrow to the left.
x < 2
Sarah needs fewer than 10 pages left to finish a book after reading a certain about of pages out of 250.
250-r < 10; -r < -240; r > 240
What is a possible solution for -3 > x > 3?
Any number between (and including) -2 and 3.
Write an inequality describing "a number x is at least 5 more than 2."
x > 2+7 or x > 7
Solve p/-5 < 6 and give one integer solution.
p > -30, solution varies.
Graph -3 < n < 4
open circle at -3, closed dot at 4, line connecting the two
A raffle sells tickets at $4 each. The fundraiser needs more than $100. Write and solve an inequality to find how many tickets needs to be sold.
4t > 100; t > 25
Dean Sam has already saved x dollars. If half of the amount she has saved is more than $10, how can this situation be written as an inequality?
x/2 > 10