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
- Solve each rational inequality in Exercises 43–60 and graph the solution set on a real number line. Express each solution set in interval notation. 4 x + 5 43. x + 3 x + 3 >0 44. X - 2 x + 5 >0 45. * + 4 0 3 x + 4 52. >0 (x + 4)(x – 1) 53. (x + 3)(x - 2) 54. x + 2 x +1 x + 1 5. 2 1 x + 4 <3 1 1 < 1 57. 58. 2x X - 2 59. * + 2 s2 60. x + 2 22 3. +arrow_forwardFind the solution set ofarrow_forwardIn 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_forward
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