Answer:
Clare didn't change the inequality symbol in the last step to >
Step-by-step explanation:
Given inequality is:
[tex]-4x+3<23[/tex]
Clare's error was in the last step where she multiplied the inequality by -4 to remove the minus sign with x. When an in equality is multiplied/Divided by a negative number then the sign of inequality is reversed. < is changed to > and > is changed to less than.
The answer must have been x > -5
The correct way to solve is:
[tex]-4x+3 <23\\-4x<20\\x>-5[/tex]
Hence,
Clare didn't change the inequality symbol in the last step to >
