Question

challenge #1
a. sketch the solutions to this inequality on the number line.
11≥2x - 5
b. enter the solutions to this inequality to help shira eat all the grass.
x≤8

Explanation:

Step1: Isolate the variable term

Add 5 to both sides of the inequality $11\geq2x - 5$. We get $11 + 5\geq2x-5 + 5$, which simplifies to $16\geq2x$.

Step2: Solve for x

Divide both sides of the inequality $16\geq2x$ by 2. So, $\frac{16}{2}\geq\frac{2x}{2}$, resulting in $8\geq x$ or $x\leq8$.

Step3: Sketch on number - line

On the number - line, we mark a closed circle at 8 (since the inequality is $\leq$) and shade to the left of 8 to represent all the values of x that satisfy the inequality.

Answer:

a. Mark a closed circle at 8 on the number - line and shade to the left.
b. $x\leq8$