Question

Question
Which option is the solution to the inequality −12g+18>−5g+53
?

(Remember, when solving linear inequalities, if you multiply or divide both sides by a negative number, the inequality symbol must flip.)

(1 point)
Responses

g<−5
g<−5

g<71/−17
g<71/−17

g>71/−17
g is greater than 71 over negative 17

g>−5

Answer 1

Start with −12g + 18 > −5g + 53.
Add 12g to both sides: 18 > 7g + 53.
Subtract 53: −35 > 7g.
Divide by 7: −5 > g, i.e. g < −5.

Answer: g < −5.