Answer:
9 ≤ x ≤ 7
Step-by-step explanation:
2x – 3 ≤ 11 or –8x – 10 ≤ – 82
We shall determine the value of x in both case.
2x – 3 ≤ 11
Collect like terms
2x ≤ 11 + 3
2x ≤ 14
Divide both side by 2
x ≤ 14/2
x ≤ 7
–8x – 10 ≤ – 82
Collect like terms
–8x ≤ – 82 + 10
–8x ≤ – 72
Divide both side by –8
x ≤ – 72 / –8
x ≥ 9 (since we divided by a negative sign)
9 ≤ x
Combining both answers
x ≤ 7
9 ≤ x
Thus,
9 ≤ x ≤ 7
