-1.5x+5>-1.375

Answer 1

To solve the inequality \(-1.5x + 5 > -1.375\), follow these steps:

1. Isolate the variable term: Start by moving the constant (5) to the other side of the inequality.

   \[ -1.5x > -1.375 - 5 \]

   \[ -1.5x > -1.375 - 5 = -6.375 \]

2. Divide by the coefficient of \(x\): Since we are dividing by a negative number, remember to reverse the inequality sign.

   \[ x < \frac{-6.375}{-1.5} \]

3. Calculate the division:

   \[ x < 4.25 \]

So, the solution to the inequality is:

\[ x < 4.25 \]