Solve -5(68+2.32)<2(-362z-4.75)

$$- 5 ( 68 + 2.32 ) < 2 ( - 362 z - 4.75 )$$

Solve for z

$$z<\frac{3421}{7240}$$

Solution Steps

Add 68 and 2.32 to get 70.32.

$$-5\times 70.32<2\left(-362z-4.75\right)$$

Multiply -5 and 70.32 to get -351.6.

$$-351.6<2\left(-362z-4.75\right)$$

Use the distributive property to multiply 2 by -362z-4.75.

$$-351.6<-724z-9.5$$

Swap sides so that all variable terms are on the left hand side. This changes the sign direction.

$$-724z-9.5>-351.6$$

Add 9.5 to both sides.

$$-724z>-351.6+9.5$$

Add -351.6 and 9.5 to get -342.1.

$$-724z>-342.1$$

Divide both sides by -724. Since -724 is negative, the inequality direction is changed.

$$z<\frac{-342.1}{-724}$$

Expand \frac{-342.1}{-724} by multiplying both numerator and the denominator by 10.

$$z<\frac{-3421}{-7240}$$

Fraction \frac{-3421}{-7240} can be simplified to \frac{3421}{7240} by removing the negative sign from both the numerator and the denominator.

$$z<\frac{3421}{7240}$$