Question

If the replacement set is the set of natural numbers, then find the largest value in the solution set of $5x-4<2x+23<4x+15$

• A. 9
• B. 8
• C. 7
• D. 6

Answer 1

The correct option is B 8

$5x-4<2x+23<4x+15$

$5x-4<2x+23$ and $2x+23<4x+15$

$5x-2x<23+4$ and $23-15<4x-2x$

$3x<27$ and $8<2x$

$x<\frac{27}{3}$ and <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $\frac{8}{2}<x$

$x<9$ and $4<x$

Solution set = {5, 6, 7, 8}

Largest value of the solution set = 8