In Exercises 1 – 6, solve each linear inequality. Other than ø, graph the solution set on a number line.
To calculate: The solution set of the inequality
Answer to Problem 1RE
Solution:
The solution set of the inequality
Explanation of Solution
Given:
The inequality
Calculation:
Consider the inequality:
Subtract 3 from both sides of the inequality to get:
Divide the inequality by 6 and change the sense of inequality to get:
Hence,
The solution set of
Graph:
The solution set of
Therefore, the graph of the solution set on the number line is shown below:
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Chapter 4 Solutions
EBK INTERMEDIATE ALGEBRA FOR COLLEGE ST
- In Exercises 6–10, solve each compound inequality. Other than Ø, graph the solution set on a number line. 6. 2x + 4 -5 7. x + 6 2 4 and 2x + 3 2 -2 6 < 4 9. x + 3 < -1 or -4x + 3 < -5 8. 2x – 3 < 5 or 3x - 2x + 5 < 6 3 10. -3 sarrow_forwardIn Exercises 27–48, solve each linear inequality. 27. 5x + 11 3(2x + 1) + x + 5 37. 2x – 11 3x + 20 40. 5(3 - x) s 3x – 1 39. 1 (x + 3) 2 4 - 2x 3 3x 1 41. 4 + 1 2 42. + 12 10 5 10 3 43. 1 > 4 4 44. 7 2 5 45. 5 4x - 3 46. 2r - 1 + 2 2 9 18 6. 12 47. 3[3(x + 5) + &x + 7] + 5[3(x – 6) – 2(3x – 5)] < 2(4x + 3) 48. 5[3(2 – 3x) – 2(5 – x)] – 6[5(x – 2) – 2(4x – 3)] < 3x + 19 V 2. VIarrow_forwardFind the solution set ofarrow_forward
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