Chapter 2

Solve each equation or inequality graphically. $$-|3 x-12| \geq-x-1$$

Solve each equation or inequality graphically. $$|x-4|>0.5 x-6$$

Solve each equation or inequality graphically. $$2 x+8>-|3 x+4|$$

Solve each equation or inequality graphically. $$|x-\sqrt{13}|+\sqrt{6} \leq-x-\sqrt{10}$$

Solve each problem. Dr. Cazayoux has found that, over the years, \(95 \%\) of the babies he delivered weighed \(x\) pounds, where \(|x-8.0| \leq 1.5 .\) What range of weights corresponds to this inequality?

Solve each problem. The industrial process that is used to convert methanol to gasoline is carried out at a temperature range of \(680^{\circ} \mathrm{F}\) to \(780^{\circ} \mathrm{F}\). Using \(F\) as the variable, write an absolute value inequal. ity that corresponds to this range.

Solve each problem. Blood Pressure Systolic blood pressure is the maximum pressure produced by each heartbeat. Both low blood pressure and high blood pressure are cause for medical concern. Therefore, health care professionals are interested in a patient's "pressure difference from normal," or \(P_{d}\). If 120 is considered a normal systolic pressure, \(P_{d}=|P-120|,\) where \(P\) is the patient's recorded systolic pressure. For example, a patient with a systolic pressure \(P\) of 113 would have a pressure difference from normal of \(P_{d}=|P-120|=|113-120|=|-7|=7\). (a) Calculate the \(P_{d}\) value for a woman whose actual systolic pressure is 116 and whose normal value should be 125. (b) If a patient's \(P_{d}\) value is 17 and the normal pressure for his sex and age should be \(120,\) what are the two possible values for his systolic blood pressure?

Solve each problem. When a model kite was flown in crosswinds in tests, it attained speeds of 98 to 148 feet per second in winds of 16 to 26 feet per second. Using \(x\) as the variable in each case, write absolute value inequalities that correspond to these ranges.