Question

Select the inequality that corresponds to the given graph.

a number line graph with a closed circle at 4, to the right and a closed circle at negative 1, shading to the left.

5x + 7 greater than or equal to 2 and 10x less than or greater to 30

6x + 7 greater than or equal to 25 or 2x - 8 < -4

4x + 10 less than or greater to 6 or 5x - 6 greater than or equal to 14

37 less than or greater to 8x - 3 less than or greater to 61

Answer 1

the closed circle means to include the number

shading to the right means with a closed circle is greater than or equal to

shading to the left with a closed circle means less than or equal to

you are looking for a pair of inequalities with the solution

\[x \le -1 ... or.... x \ge 4\]

you need to solve the inequalities, just like you would solve an equation

Option 1

\[5x + 7 \ge 2\]

subtract 7 from both sides

\[5x \ge -5\]

divide both sides by 5

\[x \ge -1\]

you need less than -1 so choice 1 is eliminated.

try the rest