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Maths-

General

Easy

Question

$vertical line 2 x plus 1 vertical line equals 5$
If and are the solutions to the equation above, what is the value of.

hint Hint:

We have given an equation $vertical line 2 x plus 1 vertical line equals 5$
We have to find the value of $vertical line a minus b vertical line$ , if a and b are solution of the equation.

The correct answer is: 5

The given equation is .
Now if $table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 2 x plus 1 greater than 0 end cell row cell x greater than fraction numerator negative 1 over denominator 2 end fraction end cell end table$
Mod will open as positive
So,
$2 x plus 1 equals 5$
2X=4
If $2 x plus 1 less than 0$
$x less than fraction numerator negative 1 over denominator 2 end fraction$
Mod will open as negative
$negative left parenthesis 2 x plus 1 right parenthesis equals 5$
$negative 2 x minus 1 equals 5$
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell negative 2 x equals 6 end cell row cell x equals negative 3 end cell end table$
Now the difference between them will be
$vertical line minus 3 minus 2 vertical line equals 5$
Hence, 5 is the Answer.

Related Questions to study

$T equals 5 c plus 12 f$
A manufacturer shipped units of a certain product to two locations. The equation above shows the total shipping cost T , in dollars, for shipping c units to the closer location and shipping units to the farther location. If the total shipping cost was $text $47, end text$ 000 and 3000 units were shipped to the farther location, how many units were shipped to the closer location?

$T equals 5 c plus 12 f$
A manufacturer shipped units of a certain product to two locations. The equation above shows the total shipping cost T , in dollars, for shipping c units to the closer location and shipping units to the farther location. If the total shipping cost was $text $47, end text$ 000 and 3000 units were shipped to the farther location, how many units were shipped to the closer location?

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ax + 2y = 4
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