Question

Which answer choice is a solution to the inequality 1.5x + 3.75 greater than or equal to 5.5

Answer 1

Answer:

x≥$\frac{7}{6}$

Step-by-step explanation:

given 1.5x+3.75≥5.5

→  1.5x≥5.5-3.75

→  1.5x≥1.75

→  x≥$\frac{1.75}{1.5}$

→  x≥$\frac{7}{6}$

Answer 2

Answer:

$x$ ≥ $\frac{7}{6}$

Step-by-step explanation:

The expression we have is:

$1.5x+3.75$ ≥ $5.5$

To find the solution of x, we need to clear the inequality until we leave the x on one side.

For this, the first step is to move 3.77 to the left with a minus sign:

$1.5x$  ≥ $5.5-3.75$

solving the subtraction on the right side

$1.5x$  ≥  $1.75$

and now we move the 1.5 that multiplies to the x, to the right dividing:

$x$ ≥  $1.75/1.5$

solving the division:  

$x$ ≥ $1.666...$

since the value 1.666667

is not an exact number, is better to leave it as a fraction:

$1.666...=\frac{7}{6}$

so the answer is:

$x$ ≥ $\frac{7}{6}$

so any value equal or greater 7/6 is a solution of the inequality