solve the following inequality for f. write your answer in simplest form. 3f - 1 ≤ -4f + 8
solve the following inequality for f. write your answer in simplest form. 3f - 1 ≤ -4f + 8
Answer
Explanation:
Step1: Move terms with ( f ) to one side
Add ( 4f ) to both sides: ( 3f + 4f-1\leq -4f + 4f+8 ) ( 7f-1\leq8 )
Step2: Isolate the term with ( f )
Add ( 1 ) to both sides: ( 7f-1 + 1\leq8 + 1 ) ( 7f\leq9 )
Step3: Solve for ( f )
Divide both sides by ( 7 ): ( f\leq\frac{9}{7} )
Answer:
( f\leq\frac{9}{7} )