What is the solution to the inequality?
1.5x – 8.3 ≤ –2.3
O x ≤ 9
O x ≥ –9
O x ≤ 4
O x ≥ –4
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To solve the inequality (1.5x – 8.3 leq -2.3), follow these steps:
1. Add 8.3 to both sides:
[
1.5x – 8.3 + 8.3 leq -2.3 + 8.3
]
Simplifying this gives:
[
1.5x leq 6
]
2. Divide both sides by 1.5:
[
x leq frac{6}{1.5}
]
Simplifying this gives:
[
x leq 4
]
Therefore, the solution to the inequality is (x leq 4).
So the correct answer is: O x ≤ 4.
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