ANSWER
2x - 5 < x - 6
2x + 7 > 4x + 9
Step-by-step explanation
Let the unknown variable be x.
The solution to the number line given is:
x < -1
We want to write two multi-step inequalities that will have that solution.
Multi-step inequality simply means an inequality whose solution requires various steps.
Let us form them now.
FIRST ONE
2x - 5 < x - 6
To solve it
Step 1: Collect like terms
2x - x < 5 - 6
Step 2: Simplify
x < -1
It has been solved.
SECOND ONE
2x + 7 > 4x + 9
To solve it:
Step 1: Collect like terms
2x - 4x > 9 - 7
Step 2: Simplify
-2x > 2
Step 3: Divide through by -2 (the sign changes)
x < -1
It has been solved.