Answer:
x ≤ -7
(-∞, -7]
Explanation:
3x + 5
2x - --------------- ≤ -10
4
1. Multiply 4 on both sides. This eliminates the denominator 4
3x + 5
(4)2x - --------------- ≤ -10(4)
4 (4)
2. Combine like terms
8x - (3x + 5) ≤ -40
8x - 3x - 5x ≤ -40
= 5x - 5 ≤ - 40
3. Add 5 on both sides
5x - 5 ≤ -40
+5 +5
5x ≤ -35
4. Divide
5x ≤ -35
÷5 ÷5
x ≤ -7 or (-∞, -7]
I hope this helps!