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question 5 (1 point) solve and graph the inequality. 2x - 10 > -14 a x …

Question

question 5 (1 point) solve and graph the inequality. 2x - 10 > -14 a x < 2 b x > -7 c x > -2 d x > -2

Explanation:

Step1: Add 10 to both sides

$$2x-10+10>-14 + 10$$
$$2x>-4$$

Step2: Divide both sides by 2

$$\frac{2x}{2}>\frac{-4}{2}$$
$$x > - 2$$

When graphing \(x>-2\), we use an open circle at \(-2\) (because the inequality is strict, \(x
eq - 2\)) and draw an arrow to the right (since \(x\) is greater than \(-2\)).

Answer:

C. \(x > - 2\) (with the correct graph having an open circle at \(-2\) and an arrow to the right)