Maths-
General
Easy

Question

Solve each inequality and tell whether it has infinitely many or no solution:
4(3-2x)≥-4

hintHint:

Linear inequalities are expressions where any two values are compared by the inequality symbols<,>,≤&≥ .
We are asked to solve the inequality and check whether there exists infinite or no solutions.

The correct answer is: 2≥x


    Step 1 of 1:
    Rearrange and solve the inequality;
    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 4 left parenthesis 3 minus 2 x right parenthesis greater or equal than negative 4 end cell row cell 12 minus 8 x greater or equal than negative 4 end cell row cell 12 plus 4 greater or equal than 8 x end cell row cell 16 greater or equal than 8 x end cell row cell 16 over 8 greater or equal than x end cell row cell 2 greater or equal than x end cell end table
    Thus, there exists infinite number of solutions for the inequality.

    Majority of inequalities would have infinite number of solutions. There are cases, where the questions have no solutions as well.

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