Question

solve the following inequality and write the solution set using interval notation
1. -9<2x+7<_19​

Answer 1

Answer:

Solution set: -8< x ≤6

Interval Notation: (-8,6]

Step-by-step explanation:

To solve the following inequality

$- 9 < 2x + 7 \leqslant 19$

first take LHS part

$- 9 < 2x + 7 \\ \\ - 9 - 7 < 2x \\ \\ - 16 < 2x \\ \\ - 8 < x$

Now take RHS part

$2x + 7 \leqslant 19 \\ \\ 2x \leqslant 19 - 7 \\ \\ 2x \leqslant 12 \\ \\ x \leqslant 6$

Solution set of inequality is

$- 8 < x \leqslant 6$

Interval Notation: (-8,6]

Hope it helps you.

Answer 2

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Step-by-step explanation:

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