How to solve 9.6z+0.5 >= -4.8

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve 9.6z+0.5 >= -4.8 | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

$$9.6z+0.5 \geq -4.8$$

$z\geq -\frac{53}{96}$

Subtract $0.5$ from both sides.

$$9.6z\geq -4.8-0.5$$

Subtract $0.5$ from $-4.8$ to get $-5.3$.

$$9.6z\geq -5.3$$

Divide both sides by $9.6$. Since $9.6$ is positive, the inequality direction remains the same.

$$z\geq \frac{-5.3}{9.6}$$

Expand $\frac{-5.3}{9.6}$ by multiplying both numerator and the denominator by $10$.

$$z\geq \frac{-53}{96}$$

Fraction $\frac{-53}{96}$ can be rewritten as $-\frac{53}{96}$ by extracting the negative sign.

$$z\geq -\frac{53}{96}$$