D) $x$ can be all real numbers 7. If $x+6 \geq 5 x-2$, which of the following inequalities gives all possible values for $x+1$ ? A) $x+1 \leq 2$ B) $x+1 \geq 3$ C) $x+1 \leq 3$ D) $x+1 \geq 2$

Step 1 ：Solve the inequality \(x+6 \geq 5x-2\) for \(x\)

Step 2 ：Subtract \(x\) from both sides: \(6 \geq 4x-2\)

Step 3 ：Add \(2\) to both sides: \(8 \geq 4x\)

Step 4 ：Divide both sides by \(4\): \(2 \geq x\)

Step 5 ：Find the possible values for \(x+1\)

Step 6 ：Since \(x \leq 2\), then \(x+1 \leq 3\)

Step 7 ：\(\boxed{x+1 \leq 3}\)