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Maths-

General

Easy

Question

Solve each inequality and tell whether it has infinitely many or no solution:
$fraction numerator 3 x over denominator 4 end fraction plus 3 over 4 minus 0.5 x greater or equal than negative 1$

hint Hint:

LCM of a set of numbers is the Least Common Multiple of those numbers. 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: x≥-7

Step 1 of 2:
Find the LCM of the inequality:
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell fraction numerator 3 x plus 3 minus 2 x over denominator 4 end fraction greater or equal than fraction numerator negative 4 over denominator 4 end fraction end cell row cell 3 x plus 3 minus 2 x greater or equal than negative 4 end cell end table$
Step 2 of 2:
Rearrange and solve the inequality;
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 3 x plus 3 minus 2 x greater or equal than negative 4 end cell row cell x greater or equal than negative 4 minus 3 end cell row cell x greater or equal than negative 7 end cell end table$
Thus, there are infinite numbers of solutions for the inequality.

You can solve any linear inequality by graphing them.

Related Questions to study

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Monisha and Holly have 14 more days to finish reading the same novel for class. Monisha plans to read 9 pages each day. While holly plans to read 20 pages each day . Assuming holly and monisha both maintain their reading plan. When will holly catch up with Monisha ?Who will finish reading the novel first ?

parallel

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