Translate the verbal sentence into an inequality . Then graph the inequality.
"all real numbers that are less than 6 and greater than 2"
What is 2 < x < 6?
100
Solve : | x + 4 | = 3
What is x = -1, -7
100
Solve and graph:
| x | < 4
What is -4, 4?
100
Solve and Graph:
-2p ≤ 14
What is p ≥ -7?
200
Solve and Graph:
d - 1.92 > -8.76
What is d > - 6.84?
200
Write and graph an inequality that describes the situation:
"The minimum speed on a highway is 40 miles per hour, and the maximum speed is 60 miles per hour"
What is 40 ≤ s ≤ 60 ?
200
Solve: 3| 4x + 2 | - 7 = 11
What is x = 1, -2?
200
Solve and graph:
| 14 - m | > 6
What is m < 8 or m > 20?
200
Solve and Graph:
2x - 3 > 7
What is x > 5?
300
Solve and Graph:
-2t > -1.22
What is t < 0.61?
300
Solve and graph the inequality:
-6 < 3n + 9 < 21
What is -5 < n < 4?
300
Solve: 2| y - 4 | + 8 = 6
What is no solution?
300
Solve and graph:
5| 0.5x + 3 | > 5
What is r < -8 or r > -4?
300
Solve and Graph:
4 - 0.5q ≤ 33 - q
What is q ≤ 58?
400
Solve and Graph:
7 (r - 3) ≥ -13
What is r ≥ 1 1/7?
400
Solve and graph the inequality:
-14 > w + 3 or 5w - 13 > w + 7
What is w < -17 or w > 5 ?
400
Solve: -9| 4x + 2 | - 8 = -35
What is 1/4, -5/4?
400
Write the verbal sentence as an inequality. Then solve the inequality and graph your solution.
"Four times the absolute deviation of x from 9 is less than 8."
What is 4| x + 9 | < 8; 7 < x < 11?
400
Solve and Graph:
2(t - 3) > 2t - 8
What is all real numbers?
500
Solve and Graph:
-10p > 6p - 8
What is p < 0.5?
500
The smallest praying mantis is 0.4 inch in length. The largest is 6 inches. Write and graph a compound inequality that describes the possible lengths L of a praying mantis.
What is 0.4 ≤ L ≤ 6 ?
500
Write the verbal sentence as an absolute value equation. Then solve the equation:
"Four more than the absolute deviation of x from 3 is 8"
What is | x + 3 | + 4 = 8; 7, -1?
500
An essay contest requires that essay entries consist of 1200 words with an absolute deviation of at most 50 words. What are the possible numbers of words that the essay can have?
What is 1150 and 1250 words?
500
A theater can seat at most 625 people. The box office has sold tickets for 284 seats. Write and solve an inequality to find the possible numbers of remaining tickets t the box office can sell.
What is t + 284 ≤ 625; t ≤ 341; no more than 341 tickets?