Solve the compound inequality and graph the solution
1 answer:
Answer:
x ≤ -3 or 1 < x
Step-by-step explanation:
Solve an inequality the same way you would solve an equation, with one exception. If you multiply or divide by a negative number, the inequality symbol is reversed.
... x + 7 ≤ 4 . . . . . left inequality
... x ≤ -3 . . . . . . . subtract 7 to get the x-term by itself
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... 5 - 3x < 2 . . . . right inequality
... -3x < -3 . . . . . . subtract 5 to get the x-term by itself
... x > 1 . . . . . . . . . divide by -3. Since -3 is negative, we reverse the inequality symbol
The problem statement says the solution is the OR of these, so ...
... x ≤ -3 . . or . . 1 < x
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These are graphed on a number line with a solid dot at -3, and an arrow to the left from there; and an open dot at +1, and an arrow to the right from there. (The dot at 1 is open because x=1 is not in the solution set.)
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