Question

solve. graph the solutions.
4x - 5 ≤ 3x - 4
the solution is .
(simplify your answer. type an inequality. use integers or fractions for any numbers in the expression.)
choose the correct graph below:
○ a. ← -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 → ○ b. ← -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 →
○ c. ← -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 → ○ d. ← -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 →

Explanation:

Step1: Subtract 3x from both sides

$4x - 3x-5\leq3x - 3x-4$
$x - 5\leq - 4$

Step2: Add 5 to both sides

$x-5 + 5\leq-4 + 5$
$x\leq1$

The graph of $x\leq1$ is a number - line with a closed circle at 1 (because the inequality includes equality) and an arrow pointing to the left.

Answer:

$x\leq1$; B (assuming B is the graph with a closed - circle at 1 and an arrow pointing to the left)