Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Nov 10, 2023

Solve for $f$ where $-5(f-7)<5$ .

STEP 1

Assumptions1. The equation is -5(f-7)<5. We need to solve for $f$

STEP 2

First, we need to isolate the term containing $f$ by dividing both sides of the inequality by -5. Remember that dividing or multiplying an inequality by a negative number reverses the inequality sign.
$\frac{-5(f-7)}{-5} > \frac{5}{-5}$

STEP 3

implify both sides of the inequality.
$(f-7) > -1$

STEP 4

Now, we need to isolate $f$ by adding7 to both sides of the inequality.
$(f-7) +7 > -1 +7$

STEP 5

implify both sides of the inequality.
$f >$ So, the solution to the inequality is $f >$ .

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