math Questions

Mathematics

1 . How do you know when an equation has infinitely many solutions

When solving an equation , if the same number are gotten on both side , for instance if 8 8 then the equation has infinitely many solutions , and for two linear equation when there have infinitely many solutions if their graphs are on the same line

2 . How do you know when an equation has no solution

An equation has no solution if two different numbers are gotten on the two side of the equation , for instance (5 3 . If it

is two linear equations the graph of the two will be parallel

3 . Why does the inequality sign change when both sides are

multiplied or divided by a negative number ? Does this happen with equations ? Why or why not

The inequality sign will change when negative number are used to multiply both side of the equation because the negative sign will make the initial bigger number to be smaller to the initial smaller number for instance , we know that 7 is greater than 5 i .e 7 5 ,but when these numbers are either divided or multiplied by (-1 ) the equation numbers change to -7 and -5 .and as it is know that minus five is greater that minus seven then that mean the sign have change resulting into ( -7 , grater than or equal to ) or less than , less than or equal to Another way is to substitute the value in to an inequality equation and calculated . If the result is true then it is from the inequality set but if it is false then it is not from an inequality solution . There is no different method of getting if a values is a solution to an equation than this , i .e . the process is the same

B . If you replace the equal sign of an equation with an inequality sign is there ever a time when the same value will be a solution to both the equation and the inequality

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e result except if the inequality signs are either greater than or equal to sign ) or less than or equal to sign...