Answer:
No, Martha's solution is not correct. If you solve the inequality, you find that x is less than or equal to -3. This would be shown as a closed circle above -3 and the arrow would point to the left to represent values less than -3, but on Martha's number line the arrow is pointing to the right, showing values greater than -3.
Step-by-step explanation:
To solve the inequality, you have to isolate the variable x:
8x + 5 [tex]\leq[/tex] 3x - 10
Subtract 3x from both sides to put x on one side of the equation:
5x + 5 [tex]\leq[/tex] -10
Subtract 5 from both sides:
5x [tex]\leq[/tex] -15
Divide both sides by 5 to isolate the x:
x [tex]\leq[/tex] -3
Since x is less than -3, the arrow on the number line should point to the left, and since x can be equal to -3, there should be a closed circle above -3.
Hope this helps :)
