Question

current skill $ write an inequality to describe the values of x that satisfy the model shown below. skill code: 117085

Explanation:

Step1: Count left side total

$1+1+1+1+1+1+1 = 7$

Step2: Count right side total

$4x + (-1)+(-1)+(-1)+(-1)+(-1)+(-1) = 4x - 6$

Step3: Set up inequality

$7 < 4x - 6$

Step4: Isolate the variable term

$7 + 6 < 4x$
$13 < 4x$

Step5: Solve for x

$\frac{13}{4} < x$ or $x > \frac{13}{4}$

Answer:

$x > \frac{13}{4}$ (or $3.25 < x$)