Question

reasoning solve the inequality. use pencil and paper. describe how you know the direction of the inequality sign without solving the inequality. \\(-7x < 35\\) what are the solutions? select the correct choice below and fill in the answer box to complete your choice. \\(\circ\\) a. \\(x \geq\\) \\(\circ\\) b. \\(x >\\) \\(\circ\\) c. \\(x \leq\\) \\(\circ\\) d. \\(x <\\) click to select and enter your answer(s) and then click check answer.

Explanation:

Step1: Divide both sides by -7

When dividing an inequality by a negative number, reverse the inequality sign.
$\frac{-7x}{-7} > \frac{35}{-7}$

Step2: Simplify both sides

Calculate the division to isolate $x$.
$x > -5$

Answer:

B. $x > -5$