The answer is: " x ≥ - 3 " .
_________________________________________
Explanation:
To solve:
_________________________________________
→ Given the inequality:
_________________________________________
→ " - 4x + 13 + 7x ≥ 14 − 10 " ; Solve for "x" .
_________________________________________
→ On the "left-hand side" of the "inequality" ;
→ Combine the "like terms" ; as follows:
→ - 4x + 7x = + 3x ;
→ and bring down the: " + 13 " ;
to write as: " 3x + 13 " .
_________________________________________
→ On the "right-hand side" of the "inequality":
→ Simplify: " 14 − 10 = 4 " .
_________________________________________
→ Rewrite the entire "inequality" ; as follows:
_________________________________________
→ " 3x + 13 ≥ 4 " ;
_________________________________________
Now, subtract "13" from EACH SIDE of the "inequality" ; as follows:
→ 3x + 13 − 13 ≥ 4 − 13 ;
to get:
→ 3x ≥ - 9 ;
_________________________________________
→ Now, divide EACH SIDE of the "inequality" by " 3 " ;
to isolate "x" on one side of the "inequality" ;
& to solve — (in terms of "x") — as follows:
_________________________________________
→ 3x / 3 ≥ - 9 / 3 ;
_________________________________________
to get:
_________________________________________
→ " x ≥ - 3 " ;
_________________________________________
The answer is: " x ≥ - 3 " .
_________________________________________
Hope this helps!
Best wishes in your academic endeavors —
and within the "Brainly" community!
_________________________________________
