can you solve -3x+5 ≤ 23
step by step
and there are 4 steps
should we divide by 5 and change the sign?
should we draw a closed circle on the solution?
should we shade left?
should we shade right?
Step 1: Simplify the inequality by subtracting 5 from both sides to isolate the variable.
-3x + 5 - 5 ≤ 23 - 5
-3x ≤ 18
Step 2: Divide both sides by -3. Since we are dividing by a negative number, the inequality sign will flip.
(-3x) / (-3) ≥ 18 / (-3)
x ≥ -6
Step 3: The inequality is now x ≥ -6. Since it is a greater than or equal to sign (≥), we draw a closed circle on the number line to represent -6.
Step 4: To determine whether to shade left or right, we consider if x can be any value greater than or equal to -6. In this case, we shade to the right since any value to the right of -6 will satisfy the inequality x ≥ -6.
So, the final solution is x ≥ -6, and we shade the number line to the right side of -6.