Problemas
MONDAY 1. Solve for x: -4(x-6)=-5(x-5) square 3. Graph the solution to the following absolute value inequality. vert -2p-8vert +10lt -4
Roztwór
Samuel
veterano · Tutor durante 9 años
4.3
(274 Votos)
Respuesta
1.
2. The inequality
has no solution.
Explicación
## Step 1:For the first problem, we are given the equation \(-4(x-6)=-5(x-5)\). To solve for
, we need to distribute the numbers outside the parentheses to the terms inside the parentheses.### \(-4(x-6) = -4x + 24\)### \(-5(x-5) = -5x + 25\)## Step 2:Next, we combine like terms on both sides of the equation.###
## Step 3:To isolate
, we add
to both sides of the equation.###
## Step 4:For the second problem, we are given the absolute value inequality
. The absolute value of a number is always non-negative, so the sum of an absolute value and a positive number cannot be less than a negative number.