To solve the inequality 4 > -3 + 3, we first simplify the expression on the right side of the inequality:
-3 + 3 = 0
Now we have the inequality 4 > 0. Since 4 is greater than 0, the inequality is true for all real numbers.
Moving on to the second inequality, 6 ≤ -2x + 3, we need to isolate the variable on one side of the inequality sign. Let's do that step-by-step:
6 ≤ -2x + 3
Subtract 3 from both sides:
6 - 3 ≤ -2x
3 ≤ -2x
Divide both sides by -2, remember when you divide by a negative number, the inequality sign flips:
3 / -2 ≥ x
-3/2 ≥ x
So the solution to the inequality is x ≤ -3/2. This means that any value of x that is less than or equal to -3/2 will make the inequality true.