Solution:
[root@node1 ~]# mkdir /home/managers
[root@node1 ~]# chgrp sysmgrs /home/managers
[root@node1 ~]# chmod 2770 /home/managers
# Verification
[root@node1 ~]# ll -d /home/managers

See the solution below in Explanation.
Explanation:
Solution:
* Reboot the system.
* Interrupt GRUB boot.
* Press e to edit the boot entry.
* On the linux line, append:
rd.break
* Boot with Ctrl+x.
* At the emergency shell:
mount -o remount,rw /sysroot
chroot /sysroot
passwd root
touch /.autorelabel
exit
exit
Detailed Explanation:
* rd.break drops you into an early emergency environment.
* /sysroot contains the real root filesystem.
* mount -o remount,rw /sysroot makes it writable.
* chroot /sysroot changes into the installed system.
* passwd root resets the password.
* touch /.autorelabel is critical so SELinux relabels files on next boot.

See the solution below in Explanation.
Explanation:
Solution:
mkdir -p /root/d1
find /usr/local -type f -size +3k -size -5k -exec cp -rvf {} /root/d1/ \;
chmod g+s /root/d1
ls -ld /root/d1
Detailed Explanation:
* -size +3k means greater than 3 KB.
* -size -5k means less than 5 KB.
* chmod g+s sets the SGID bit on the directory.
* SGID on a directory causes new files created there to inherit the directory's group.

Solution:
# Check the disk layout
[root@node2 ~]# lsblk
# Partition the disk
[root@node2 ~]# fdisk /dev/vdb
Welcome to fdisk (util-linux 2.37.4).
Changes will remain in memory only, until you decide to write them.
Be careful before using the write command.
Command (m for help): n # Add a new partition
Partition type
p primary (1 primary, 0 extended, 3 free) # Primary partition
e extended (container for logical partitions) # Extended partition
Select (default p): p
Partition number (2-4, default 2): # Press Enter
First sector (1026048-20971519, default 1026048): # Press Enter
***Note: The partition size must be larger than the total size, it should not be exactly equal to. It is recommended to add an extra 200M.
Last sector, +/-sectors or +/-size{K,M,G,T,P} (1026048-20971519, default 20971519): +1200M # Partition size
Created a new partition 2 of type 'Linux' and of size 512 MiB.
Command (m for help): w # Save and exit
The partition table has been altered.
Syncing disks.
# Create volume group and logical volume
[root@node2 ~]# vgcreate -s 16M myvg /dev/vdb4
[root@node2 ~]# lvcreate -l 50 -n mylv myvg
# Install vfat support
[root@node2 ~]# yum provides */mkfs.vfat
[root@node2 ~]# yum -y install dosfstools
# Format the logical volume with vfat filesystem
[root@node2 ~]# mkfs.vfat /dev/myvg/mylv
# Create mount point
[root@node2 ~]# mkdir /mnt/mydata
# Update /etc/fstab for automatic mounting
[root@node2 ~]# vim /etc/fstab
/dev/myvg/mylv /mnt/mydata vfat defaults 0 0
# Mount the logical volume
[root@node2 ~]# mount -a

See the solution below in Explanation.
Explanation:
Solution:
lvcreate -L 1G -n lvbackup vgdata
mkfs.xfs /dev/vgdata/lvbackup
mkdir -p /backup
echo "/dev/vgdata/lvbackup /backup xfs defaults 0 0" > > /etc/fstab
mount -a
df -h /backup
Detailed Explanation:
* lvcreate allocates a new LV from the existing VG.
* mkfs.xfs creates the filesystem.
* /etc/fstab makes the mount persistent across reboot.
* mount -a tests the fstab entry immediately.
* RHEL 10 storage documentation continues to use LVM and XFS as core administration topics. ( Red
Hat Documentation )