Answer:
[tex]z < 0[/tex]
Step-by-step explanation:
Given:
[tex]\frac{29}{289}z<\frac{16}{161}z[/tex]
Required:
Solve for z
Follow the following steps:
Step 1: Rewrite expression
[tex]\frac{29z}{289}<\frac{16z}{161}[/tex]
Step 2: Multiply both sides of the inequality by (289)(161)
[tex](161)(289)\frac{29z}{289}<(161)(289)\frac{16z}{161}[/tex]
Step 3: Simplify Expression
[tex]161 * 29z< 289 * 16z[/tex]
Step 4: Multiply
[tex]4669 z< 4624 z[/tex]
Step 5: Collect Like Terms
[tex]4669 z - 4624 z< 0[/tex]
Step 6: Subtract
[tex]45z< 0[/tex]
Step 7: Divide both sides by 45
[tex]\frac{45z}{45} < \frac{0}{45}[/tex]
[tex]z < 0[/tex]
Hence, the resul of [tex]\frac{29}{289}z<\frac{16}{161}z[/tex] is [tex]z < 0[/tex]
