Question

2.7 module 2 post-test

solve for x:

(-7x - 50 \le -1\\) and (-6x + 70 > -2\\)

there are infinitely many solutions

(-7 \le x < 12\\)

(x \ge -7\\) or (x < 12\\)

there are no solutions

Explanation:

Solve the first inequality

Using the Compound Inequalities knowledge point

$$
LATEXBLOCK0
$$

Solve the second inequality

Using the Compound Inequalities knowledge point

$$
LATEXBLOCK1
$$

Find the intersection of the solution sets

Using the Intersection of Sets knowledge point

$$
LATEXBLOCK2
$$

Answer:

• There are infinitely many solutions
• -7 \le x < 12 (Correct answer)
• x \ge -7 \text{ or } x < 12
• There are no solutions