Answer:
The largest two consecutive odd integers are
19 and 21
Step-by-step explanation:
Let
x ----> the first consecutive odd number
x+2 ---> the second consecutive odd number
we know that
The inequality that represent this situation is
[tex]x+(x+2)\leq 46[/tex]
solve for x
[tex]2x+2\leq 46[/tex]
[tex]2x\leq 46-2[/tex]
[tex]2x\leq 44[/tex]
[tex]x\leq 22[/tex]
therefore
The largest two consecutive odd integers are
19 and 21