Question

1. solve the inequality and graph the solution set.

(50 + x - 18 + 6x \ge -38)

1. solve the inequality and graph the solution set.

(11x - 5(5x - 4) > 6)

1. solve the inequality and graph the solution set.

(-114 \ge x + 3(2x - 7) - 2)

1. solve the inequality and graph the solution set.

(5x - 3(5x + 5) - 2 < -17)

1. solve the inequality and graph the solution set.

(-2 + x - 7(4 - x) \le 2)

1. solve the inequality and graph the solution set.

(22 \le 2(3x - 6) - 13x - 1)

Explanation:

Solve Question 1

Using the Solving Linear Inequalities and Multi-Step Inequalities knowledge points

$$
LATEXBLOCK0
$$

Using the Graphing Inequalities knowledge point, the graph has a solid circle at \(14\) shaded to the left.

Solve Question 2

Using the Solving Linear Inequalities and Multi-Step Inequalities knowledge points

$$
LATEXBLOCK1
$$

Using the Graphing Inequalities knowledge point, the graph has an open circle at \(1\) shaded to the left.

Solve Question 3

Using the Solving Linear Inequalities and Multi-Step Inequalities knowledge points

$$
LATEXBLOCK2
$$

Using the Graphing Inequalities knowledge point, the graph has a solid circle at \(-13\) shaded to the left.

Solve Question 4

Using the Solving Linear Inequalities and Multi-Step Inequalities knowledge points

$$
LATEXBLOCK3
$$

Using the Graphing Inequalities knowledge point, the graph has an open circle at \(0\) shaded to the right.

Solve Question 5

Using the Solving Linear Inequalities and Multi-Step Inequalities knowledge points

$$
LATEXBLOCK4
$$

Using the Graphing Inequalities knowledge point, the graph has a solid circle at \(4\) shaded to the left.

Solve Question 6

Using the Solving Linear Inequalities and Multi-Step Inequalities knowledge points

$$
LATEXBLOCK5
$$

Using the Graphing Inequalities knowledge point, the graph has a solid circle at \(-5\) shaded to the left.

Answer:

No.	Answer	Graph Description
2	\(x < 1\)	Open circle at \(1\), shaded to the left
3	\(x \le -13\)	Solid circle at \(-13\), shaded to the left
4	\(x > 0\)	Open circle at \(0\), shaded to the right
5	\(x \le 4\)	Solid circle at \(4\), shaded to the left
6	\(x \le -5\)	Solid circle at \(-5\), shaded to the left