Solving Inequalities (A/S)
X - 3> 2
X > 5
x ÷ 3 > 5
x > 15
x/2 - 3 < 5
x < 16
Does the arrow on the number line go left or right for x > 5
RIGHT (all numbers bigger than 5)
Write the inequality using X as your variable:
Julie had grown over inches since her last appointment
x > 5
x + (-6) < -5
X < 1
2x < 12
x < 6
4x - 20 > 20 - 4
x > 9
Does the arrow on the number line go to the right or left for x ≤ -33
LEFT (all numbers smaller than -33)
Write the inequality using X as your variable:
The height of the tree is less than 55 inches
X < 55
x - 3 + 2 ≥ 2 + 2
x ≥ 5
x ÷ 12 > 3 + 2
x > 60
x/15 + 2 < 1
X < -15
-1
Write the inequality using X as your variable:
Lisa could spend no more than $12 on a ticket
x ≤ 12
-3 > -2 + x
-1 > x OR x < -1
-5x < 25
x > -5 (SIGN FLIP)
2/5 + 1/5 < x - 1/5
4/5 < x OR x > 4/5
For the inequality x/-2 ≥ -4 , does the arrow go to the left or the right
LEFT (SIGN FLIP) X≤ +8
Write the inequality using X as your variable:
Kenny had to pack more than the sum of 7 boxes and 5 boxes
x > 12
x - 5 + 3 - 3 + 1 ≤ 4 + 2 - 1
x ≤ 9
3(x - 2) ≥ 6
x ≥ 4
2/5x + 4> 2
X > -5
Does the arrow on the number line go to the left or right for the inequality X/-3 > 2
LEFT answer = X < -6 (have to flip your sign)