Question

question
solve for $x$ and graph the solution on the number line below. if possible, resolve your answer to a single inequality. in case of no solution ($\varnothing$), leave the number line blank.
$7>2x - 1$ and $15geq2x - 1$
answer attempt 1 out of 2
inequality notation:
number line:

Explanation:

Step1: Solve the first inequality

Add 1 to both sides of $7>2x - 1$, we get $7 + 1>2x-1 + 1$, that is $8>2x$. Then divide both sides by 2, we have $x < 4$.

Step2: Solve the second inequality

Add 1 to both sides of $15\geq2x - 1$, we get $15 + 1\geq2x-1 + 1$, that is $16\geq2x$. Then divide both sides by 2, we have $x\leq8$.

Step3: Find the intersection

Since we have $x < 4$ and $x\leq8$, taking the intersection of the two - solution sets, the overall solution is $x < 4$.

Answer:

$x < 4$