Question

Solve the inequality (29/289)z<(16/161)z

Answer 1

Answer:

$z < 0$

Step-by-step explanation:

Given:

$\frac{29}{289}z$

Required:

Solve for z

Follow the following steps:

Step 1: Rewrite expression

$\frac{29z}{289}$

Step 2: Multiply both sides of the inequality by (289)(161)

$(161)(289)\frac{29z}{289}$

Step 3: Simplify Expression

$161 * 29z< 289 * 16z$

Step 4: Multiply

$4669 z< 4624 z$

Step 5: Collect Like Terms

$4669 z - 4624 z< 0$

Step 6: Subtract

$45z< 0$

Step 7: Divide both sides by 45

$\frac{45z}{45} < \frac{0}{45}$

$z < 0$

Hence, the resul of $\frac{29}{289}z$ is $z < 0$

Answer 2

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