12x+7< −11 or 5x−8> 40. solve for the inequality

The solution for the inequality 12x+7<−11 is x < -3/2

The solution for the inequality  5x−8>40 is x < 48/5

The given inequalities are:

12x + 7 < −11

5x − 8 > 40

First, solve 12x + 7 < −11

Subtract 7 from both sides

12x  +  7  -  7   <  -11 - 7

12x    <   -18

Divide both sides by 12

First, solve 5x - 8 < 40

Add 8 to both sides

5x - 8  + 8   <  40  +  8

5x    <   48

Divide both sides by 5

The solution for the inequality 12x+7<−11 is x < -3/2

The solution for the inequality  5x−8>40 is x < 48/5

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Step-by-step explanation:

We have been given a compound inequality . We are asked to solve the given inequality.

First of all, we will solve both parts of inequality separately and then we will combine the solution.

Therefore, the solution of the given compound inequality would be that is in interval notation.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions