Question

svlc algebra 1a - standard (15260)
linear equations and inequalities
what value of x is in the solution set of 2x - 3 > 11 - 5x?

Explanation:

Step1: Add 5x to both sides

To isolate the x terms, we add 5x to each side of the inequality \(2x - 3 > 11 - 5x\). This gives us \(2x + 5x - 3 > 11 - 5x + 5x\), which simplifies to \(7x - 3 > 11\).

Step2: Add 3 to both sides

Next, we add 3 to both sides to isolate the term with x. So, \(7x - 3 + 3 > 11 + 3\), which simplifies to \(7x > 14\).

Step3: Divide by 7

Finally, we divide both sides by 7 to solve for x. \(\frac{7x}{7} > \frac{14}{7}\), which simplifies to \(x > 2\).

Answer:

The solution set for \(x\) is all real numbers greater than 2, so \(x > 2\)