11
Question
Solve & graph the solution set of -2 < 2x - 4 and −2x+5≥13,x∈R
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Solution
−2<2x−4⇒2x−4>−2and−2x+5≥13⇒2x>2and−2x≥13−5
⇒x>1and−2x≥8⇒x>1and−x≥4
⇒x>1andx≤−4
∴x>1orx≤−4orx∈(−∞,−4)∪(1,∞)
⇒x>1and−2x≥8⇒x>1and−x≥4
⇒x>1andx≤−4
∴x>1orx≤−4orx∈(−∞,−4)∪(1,∞)
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