-3q + 12 greater than equal too 4q - 30 solve for q

Solving the inequality [tex]-3q+12\geq 4q-30[/tex] the value of q is [tex]q\leq 6[/tex]Step-by-step explanation:We need to solve the inequality: [tex]-3q+12\geq 4q-30[/tex] and find value of qSolving:[tex]-3q+12\geq 4q-30\\Adding\,\,-12\,\,on\,\,both\,\,sides:\\-3q+12-12\geq 4q-30-12\\-3q\geq 4q-42\\Adding\,\,-4q\,\,on\,\,both\,\,sides:\\-3q-4q\geq 4q-42-4q\\-7q\geq -42\\Divide\,\,both\,\,sides\,\,by\,\,7\\\frac{-7q}{7}\geq \frac{-42}{7}\\ -q\geq -6\\Multiply\,\,both\,\,sides\,\,by\,\,-1\,\,and\,\,reverse\,\,the\,\,inequality:\\q\leq 6[/tex]So, solving the inequality [tex]-3q+12\geq 4q-30[/tex] the value of q is [tex]q\leq 6[/tex]Keywords: Solving inequalityLearn more about solving inequality at:brainly.com/question/7490805 brainly.com/question/9590016 brainly.com/question/2840217#learnwithBrainly