Solve the following inequalities for the variable,
�
x.
13
≤
−
2
�
+
5
13≤−2x+5
To solve the inequality 13 ≤ -2x + 5, we need to isolate the variable x on one side of the inequality.
Subtracting 5 from both sides, we get:
13 - 5 ≤ -2x
8 ≤ -2x
To isolate x, we need to divide both sides by -2. However, when dividing an inequality by a negative number, the direction of the inequality sign must be flipped.
Dividing both sides by -2 and flipping the inequality sign, we get:
8/-2 ≥ x
-4 ≥ x
So the solution is x ≤ -4.
To solve the inequality 13 ≤ -2x + 5 for the variable x, we need to isolate x on one side of the inequality symbol.
Step 1: Subtract 5 from both sides of the inequality:
13 - 5 ≤ -2x + 5 - 5
8 ≤ -2x
Step 2: Divide both sides of the inequality by -2. Remember that when dividing or multiplying by a negative number, we need to reverse the inequality sign:
8 ÷ -2 ≥ -2x ÷ -2
-4 ≥ x
So the solution to the inequality is x ≤ -4.
To check this solution, you can substitute any value less than or equal to -4 into the original inequality and see if it holds true.
To solve the inequality 13 ≤ -2x + 5 for x, follow these steps:
Step 1: Subtract 5 from both sides of the inequality
13 - 5 ≤ -2x + 5 - 5
8 ≤ -2x
Step 2: Divide both sides by -2, remembering to change the direction of the inequality ('≤' becomes '≥') since we are dividing by a negative number.
8 / -2 ≥ -2x / -2
-4 ≥ x
Hence, the solution to the inequality is x ≤ -4.