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Vladimir [108]
3 years ago
11

Solve the compound inequality. 4x+15 ≥-9 and 8x-6 ≤ 34

Mathematics
2 answers:
gayaneshka [121]3 years ago
7 0

Solution :

Given, compound inequality, 4x+15 \geq - 9 and 8x-6 \leq 34 .

Let us solve the first inequality for x

4x+15 \geq - 9\\\Rightarrow 4x\geq -9-15\\\Rightarrow 4x\geq -24\\\Rightarrow x\geq\frac{-24}{4} \\\Rightarrow x\geq -6

Now, on solving the second inequality for x, we get

8x-6\leq 34\\ => 8x\leq 34 +6\\=> 8x\leq 40\\=> x\leq \frac{40}{8} \\=> x\leq 5

Hence, the Solution of compound inequality can be expressed as -6 \leq x\leq 5


kherson [118]3 years ago
3 0
For the first one x>-6, for the second one x< or equal to 5
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