Choosing the options, all values less than 5 are correct options.
-10,-5,-3,3,0 are correct options.
Step-by-step explanation:
We need to find solutions of the inequality:
![-7x+14>-3x-6](https://tex.z-dn.net/?f=-7x%2B14%3E-3x-6)
Solving:
![-7x+14>-3x-6\\Subtract\,\,14\,\,from\,\,both\,\,sides:\\-7x+14-14>-3x-6-14\\-7x>-3x-20\\Add\,\,3x\,\,on\,\,both\,\,sides:\\-7x+3x>-3x+3x-20\\-5x>-20\\Divide\,\,both\,\,sides\,\,by\,\,-5\,\,and\,\,reverse\,\,the\,\,sign:\\x](https://tex.z-dn.net/?f=-7x%2B14%3E-3x-6%5C%5CSubtract%5C%2C%5C%2C14%5C%2C%5C%2Cfrom%5C%2C%5C%2Cboth%5C%2C%5C%2Csides%3A%5C%5C-7x%2B14-14%3E-3x-6-14%5C%5C-7x%3E-3x-20%5C%5CAdd%5C%2C%5C%2C3x%5C%2C%5C%2Con%5C%2C%5C%2Cboth%5C%2C%5C%2Csides%3A%5C%5C-7x%2B3x%3E-3x%2B3x-20%5C%5C-5x%3E-20%5C%5CDivide%5C%2C%5C%2Cboth%5C%2C%5C%2Csides%5C%2C%5C%2Cby%5C%2C%5C%2C-5%5C%2C%5C%2Cand%5C%2C%5C%2Creverse%5C%2C%5C%2Cthe%5C%2C%5C%2Csign%3A%5C%5Cx%3C%5Cfrac%7B-20%7D%7B-5%7D%5C%5Cx%3C5)
So, solving the inequality
we get ![x](https://tex.z-dn.net/?f=x%3C5)
So, Choosing the options, all values less than 5 are correct options.
-10,-5,-3,3,0 are correct options.
Keywords: Solving the inequality
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