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  4. The solution of the inequality -8 ≤ 5 x-3<7 is

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Q. The solution of the inequality $-8 \leq 5 x-3<7$ is

Linear Inequalities

Solution:

In this case, we have two inequalities, $-8 \leq 5 x-3$ and $5 x-3<7$, which we will solve simultaneously. We have $-8 \leq 5 x-3<7$ or $-5 \leq 5 x<10$ or $-1 \leq x<2$ i.e., $x \in[-1,2)$.