Option B is correct option.
Step-by-step explanation:
We need to solve the inequality: 7 − 9x − (x + 12) less than or equal to 25
[tex]7-9x-(x + 12)\leq 25[/tex]
Solving:
[tex]7-9x-(x + 12)\leq 25[/tex]
[tex]7-9x-x-12\leq 25[/tex]
[tex]-10x-5\leq 25[/tex]
Add 5 on both sides:
[tex]-10x\leq 25+5[/tex]
[tex]-10x\leq 30[/tex]
Divide both sides by -10 and reverse the inequality:
[tex]x\geq -3[/tex]
The number line is shown in figure attached.
Option A is correct.
Option B is incorrect because x cannot be less than -3
Option C is correct because −3 less than or equal to x is -3 ≤ can be written as: x≥-3
Option D is correct because when x is greater than or equal to the circle is closed and greater values are on right side of the number line.
So, Option B is correct.
