What is the solution to the inequality −12g+18>−5g+53 (1 point)
g
g > 35
-71/17 or is it -5
The solution to the inequality -12g + 18 > -5g + 53 is g > 35.
To solve the inequality −12g+18>−5g+53, we first want to isolate the variable 'g' on one side of the inequality.
Step 1: Start by subtracting −12g from both sides of the inequality to get rid of the term −12g:
−12g + 18 - (-12g) > −5g + 53 -(-12g)
Simplifying the left side: 18 > 7g + 53 - (-12g)
18 > 7g + 53 + 12g
Step 2: Combine like terms on the right side of the inequality:
18 > 7g + 12g + 53
18 > 19g + 53
Step 3: Next, subtract 53 from both sides of the inequality:
18 - 53 > 19g + 53 - 53
-35 > 19g
Step 4: Finally, divide both sides of the inequality by 19 (the coefficient of 'g') to isolate 'g':
-35/19 > g
Therefore, the solution to the inequality is g > -35/19.