Consider the following inequality:−3x+5≥3x−4−3𝑥+5≥3𝑥−4Step 2 of 2: Graph the solution to the given inequality.
Question
Consider the following inequality:
Step 2 of 2: Graph the solution to the given inequality.
Solution
Apologies for the confusion, but it seems like the inequality was repeated twice. Assuming the inequality is -3x + 5 ≥ 3x - 4, here are the steps to solve it:
Step 1: Combine like terms. Add 3x to both sides of the inequality to get rid of -3x on the left side. This gives us: 5 ≥ 6x - 4
Step 2: Isolate the variable. Add 4 to both sides of the inequality to get rid of -4 on the right side. This gives us: 9 ≥ 6x
Step 3: Solve for x. Divide both sides of the inequality by 6 to solve for x. This gives us: x ≤ 9/6 or x ≤ 1.5
Step 4: Graph the solution. Draw a number line, and mark the point 1.5 on it. Since x is less than or equal to 1.5, the graph will be a closed circle at 1.5 (indicating that 1.5 is included in the solution) and the line will extend to the left (indicating that all numbers less than 1.5 are part of the solution).
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