Translating Inequalities
Write and graph :
x is greater than -1 and less than or equal to 4
-1 < x ≤ 4
Solve & Graph :
-4x ≤ 12
x ≥ -3
Solve :
-2 < x + 3 < 5
-5 < x < 2
Solve :
|x| = 6
x = -6 or 6
A gym membership costs 100 baht plus 20 baht per visit. You can spend at most 300 baht. Write and solve an inequality for this situation.
100 + 20x ≤ 300 ; x ≤ 10
Write an inequality :
Twice a number decreased by 5 is less than 9
2x - 5 < 9
Solve & Graph :
3x + 5 < 14
x < 3
Solve and graph :
x - 4 > 6 or x + 2 < -3
x > 10 or x < -5
Give me an example when you would have no solution for an absolute value equation.
= negative
You've already read 80 pages and need to read at least 200 total pages. Write and solve for how many more pages you must read.
80 + x ≥ 200 ; x ≥ 120
The sum of 7 and three times a number is no more than 25
3x + 7 ≤ 25
Solve & Graph :
2x - 9 + 3x ≥ 11
x ≥ 4
Solve and graph :
2x - 7 ≤ 5 and x + 2 > -1
-3 < x ≤ 6
Solve :
|x+2| = 8
x = -10 or 6
A taxi costs 40 baht plus 12 per km. If you can spend no more than 160 baht, how far can you travel?
Less than 10 km
Write the inequality :
Nine less than the product of 4 and a number is more than 3 times the number
4x - 9 > 3x
Solve & Graph :
-3(2x - 4) + 5 > 2(x + 7)
x < 3/8
2x - 5 > 7 and 3x + 1 < 10
No solution
Solve and graph :
2 |x−3| −5< 3
-1<x<7
A nail is supposed to be 15 mm long with an error of at most 0.2 mm. Write and solve and absolute inequality for this situation.
| x - 15 | ≤ 0.2 ;
14.8 ≤ x ≤ 15.2
Four times a number decreased by 7 is greater than or equal to the sum of the number and 11
4x - 7 ≥ x + 11
Solve :
2(2x−5)−3(x+4)≥x−8
No Solution
Solve & Graph :
-2x + 7 ≤ 3x + 2 < 4x + 6
x ≥ 1
Solve and graph :
3|x - 2| > 9
x > 5 or x < -1
A quiz is worth 20 points. You've earned 15. What percent must you score in your next quiz to have an average of at least 85%?
x ≥ 19