Answer:
[-2,7] is the solution of inequality .
Step-by-step explanation:
Given : inequality 2 | 5 - 2x | - 3 ≤ 15
To find: solution of inequality.
Solution : We have given that 2 | 5 - 2x | - 3 ≤ 15
.
On adding 3 both sides:
2 | 5 - 2x | - 3+3 ≤ 15
+3
2 | 5 - 2x | ≤ 18.
ON dividing both side by 2 and simplify
| 5 - 2x | ≤ 9.
On applying absolute rule, if | u | ≤ a,a> then -a ≤ u≤ a
-9≤5 - 2x ≤ 9.
5 - 2x ≤ 9 , 5 - 2x ≤ -9.
- 2x ≤ 9-5
- 2x ≤ 4
On dividing by -2
x ≥ -2.
For 5 - 2x ≤ -9.
- 2x ≤ -9-5
- 2x ≤ -14
On dividing by -2
x ≤ 7
Therefore , [-2,7] is the solution of inequality .
